Solve the equation f(x) = g(x) using the graph given below. Q Q -10 y f(x)...

  
 
 
 
 
 
 
 

 

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Solve the equation f(x) = g(x) using the graph given below. Q Q -10 y₁ f(x) ₂40(x) 12 8- 44 2 4 B +421 (3,5) 10 S The solution set for f(x) = g(x) is Evaluate the function f(x)=2x+8 at the indicated values. a) Find f(3). b) Find f(-5). a) f(3) = (Simplify your answer.) b) f(-5) = (Simplify your answer.) Without a graphing calculator, determine the domain and range of the function. f(x)=√√x-12 The domain is and the range is (Type your answers in interval notation.) Determine the domain and range of the following function. The function's graph is shown to the right. y=x²-1 What is the domain? The domain is (Type your answer in interval notation.) What is the range? The range is (Type your answer in interval notation.) -10 10 10 G Determine the largest open interval(s) of the domain over which the function shown in the graph below is (a) increasing. (b) decreasing, and (c) constant. Then give the (d) domain and (e) range. 47 E (a) Over what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA The function is increasing on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The function is never increasing (b) Over what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The function is never decreasing. (e) Over what open interval(s), if any, is the function constant? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is constant on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.). OB. The function is never constant. (d) The domain of the function is (Type your answer in interval notation.) (2 Find the equation of the line described, giving it in slope-intercept form if possible. Through (4,5), perpendicular to 3x + y = 6 The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any num Students stuff envelopes for extra money. Their initial cost to obtain the information for the job was $90 Each envelope costs $0.03 and they get paid $0.04 per envelope stuffed. Let x represent the number of envelopes stuffed. (a) Express the cost C as a function of x (b) Express the revenue R as a function of x (c) Determine analytically the value of x for which revenue equals cost (a) C(x)=(C in dollars) (b) R(x)=(R in doltars) (c) Revenue equals cost when x Find the distance between the points (0.-7) and (24,19). Also find the midpoint of the line segment joining the two points. The distance is (Type an exact answer, using radicals as needed.) The midpoint is (Type an ordered pair.) Find the equation of the line satisfying the given conditions, giving it in slope-intercept form. Through (0,4), parallel to 5x + y = 2 y=0 (Simplify your answer. Use integers or fractions for any numbers in the expression.) If x represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (e) state the profit function, (d) determine analytically how many items must be produced before a profit is realized (assume whole numbers of items), and (e) support the results of part (d) graphically. The fixed cost is $600, the cost to produce an item is $25, and the selling price of the item is $50. (a) The cost function is C(x)= (Simplify your answer. Do not factor) (b) The revenue function is Rix) - (Simplify your answer. Do not factor) (c) The profit function is P(x) (Simplify your answer. Do not factor) (d) At least items must be produced before a profit is shown. (Type a whole number) (e) Choose the corect graph to the right. OA 2100 О.с. itens produced 2100 L OB son 2100 OD. Demam 0 2100 pr tens produced a C Write an equation in slope-intercept form of the line satisfying the following conditions. through (4,6); perpendicular to x = 6 The equation of the line is (Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Simplify your answer.) Manuel traveled 4 hours nonstop to Mexico, a total of 134 miles. He took a train part of the way, which averaged 40mph, and then took a bus the remaining distance, which averaged 30mph. How long was Manuel on the train? The time spent traveling on the train was hour(s). (Type an integer or a decimal) Ő How many quarts of pure antifreeze must be added to 5 quarts of a 10% antifreeze solution to obtain a 20% antifreeze solution? quart(s) of pure antifreeze must be added. (Round to the nearest tenth as needed.). Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. Is the graph symmetric with respect to the x-axis? OYes No is the graph symmetric with respect to the y-axis? Yos No Is the graph symmetric with respect to the origin? 00 Yes No -10 G Find the slope, if it exists, of the line containing the pair of points (8,-4) and (8,-7). Select the correct choice bellow and, if necessary, fill in the answer box to complete your choice. OA. The slope of the line is B. The slope is undefined. (Simplify your answer.) Determine whether the relation represents a function. State the domain and range of the relation. ((8.6), (4, 4), (2, -9). (-6,5)} Does the given relation represent a function? O Yes O No What is the domain of the relation? (Use a comma to separate answers as needed.) What is the range of the relation? (Use a comma to separate answers as needed.) Refer to the graph of the linear function y f(x) to solve the inequalities specified in parts (a)-(d) (a) The interval where f(x) > 0 is (,00). (b) The interval where f(x) <0 is (2) (c) Enter the correct symbol for the left end of the interval. The interval where f(x) 20 is 2.00), (d) Enter the correct symbol for the right end of the interval. The interval where f(x) ≤0 is (-0.2 o d [-10,10] by [-10,10) Xscl 1 Ysd 1 Find the equation of the line that is the perpendicular bisector of the line segment connecting (-3,7) and (1,21). Write the equation in slope-intercept form. The equation is y= (Simplify your answer. Use integers or fractions for any numbers in the equation. Do not factor.) Graph the following linear function. Give the (a) x-intercept, (b) y-intercept, (c) domain, (d) range, and (e) slope of the line. Do not use a calculator. f(x)=3x-91 Use the graphing tool on the right to graph the line.. Click to enlarge graph (a) The x-intercept is (Type an ordered pair.) (b) The y-intercept is (Type an ordered pair.) (c) Find the domain of the function. (Type your answer in interval notation.) (d) Find the range of the function. -10 B h 4 12 10- 184 16- 4 2 424 14 16 -164 10 o o 11 Solve the inequality f(x) < g(x) using the graph given below. Q -10 Y₁-f(x) -6 42 yz g(x) -8 -2 4- 4 -8 d -12- (4,3) a 10 The solution set for f(x) < g(x) is (Type your answer in interval notation.) Solve the equation f(x) = g(x) using the graph given below. Q Q -10 y₁ f(x) ₂40(x) 12 8- 44 2 4 B +421 (3,5) 10 S The solution set for f(x) = g(x) is Evaluate the function f(x)=2x+8 at the indicated values. a) Find f(3). b) Find f(-5). a) f(3) = (Simplify your answer.) b) f(-5) = (Simplify your answer.) Without a graphing calculator, determine the domain and range of the function. f(x)=√√x-12 The domain is and the range is (Type your answers in interval notation.) Determine the domain and range of the following function. The function's graph is shown to the right. y=x²-1 What is the domain? The domain is (Type your answer in interval notation.) What is the range? The range is (Type your answer in interval notation.) -10 10 10 G Determine the largest open interval(s) of the domain over which the function shown in the graph below is (a) increasing. (b) decreasing, and (c) constant. Then give the (d) domain and (e) range. 47 E (a) Over what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA The function is increasing on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The function is never increasing (b) Over what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The function is never decreasing. (e) Over what open interval(s), if any, is the function constant? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is constant on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.). OB. The function is never constant. (d) The domain of the function is (Type your answer in interval notation.) (2 Find the equation of the line described, giving it in slope-intercept form if possible. Through (4,5), perpendicular to 3x + y = 6 The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any num Students stuff envelopes for extra money. Their initial cost to obtain the information for the job was $90 Each envelope costs $0.03 and they get paid $0.04 per envelope stuffed. Let x represent the number of envelopes stuffed. (a) Express the cost C as a function of x (b) Express the revenue R as a function of x (c) Determine analytically the value of x for which revenue equals cost (a) C(x)=(C in dollars) (b) R(x)=(R in doltars) (c) Revenue equals cost when x Find the distance between the points (0.-7) and (24,19). Also find the midpoint of the line segment joining the two points. The distance is (Type an exact answer, using radicals as needed.) The midpoint is (Type an ordered pair.) Find the equation of the line satisfying the given conditions, giving it in slope-intercept form. Through (0,4), parallel to 5x + y = 2 y=0 (Simplify your answer. Use integers or fractions for any numbers in the expression.) If x represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (e) state the profit function, (d) determine analytically how many items must be produced before a profit is realized (assume whole numbers of items), and (e) support the results of part (d) graphically. The fixed cost is $600, the cost to produce an item is $25, and the selling price of the item is $50. (a) The cost function is C(x)= (Simplify your answer. Do not factor) (b) The revenue function is Rix) - (Simplify your answer. Do not factor) (c) The profit function is P(x) (Simplify your answer. Do not factor) (d) At least items must be produced before a profit is shown. (Type a whole number) (e) Choose the corect graph to the right. OA 2100 О.с. itens produced 2100 L OB son 2100 OD. Demam 0 2100 pr tens produced a C Write an equation in slope-intercept form of the line satisfying the following conditions. through (4,6); perpendicular to x = 6 The equation of the line is (Type an equation. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Simplify your answer.) Manuel traveled 4 hours nonstop to Mexico, a total of 134 miles. He took a train part of the way, which averaged 40mph, and then took a bus the remaining distance, which averaged 30mph. How long was Manuel on the train? The time spent traveling on the train was hour(s). (Type an integer or a decimal) Ő How many quarts of pure antifreeze must be added to 5 quarts of a 10% antifreeze solution to obtain a 20% antifreeze solution? quart(s) of pure antifreeze must be added. (Round to the nearest tenth as needed.). Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. Is the graph symmetric with respect to the x-axis? OYes No is the graph symmetric with respect to the y-axis? Yos No Is the graph symmetric with respect to the origin? 00 Yes No -10 G Find the slope, if it exists, of the line containing the pair of points (8,-4) and (8,-7). Select the correct choice bellow and, if necessary, fill in the answer box to complete your choice. OA. The slope of the line is B. The slope is undefined. (Simplify your answer.) Determine whether the relation represents a function. State the domain and range of the relation. ((8.6), (4, 4), (2, -9). (-6,5)} Does the given relation represent a function? O Yes O No What is the domain of the relation? (Use a comma to separate answers as needed.) What is the range of the relation? (Use a comma to separate answers as needed.) Refer to the graph of the linear function y f(x) to solve the inequalities specified in parts (a)-(d) (a) The interval where f(x) > 0 is (,00). (b) The interval where f(x) <0 is (2) (c) Enter the correct symbol for the left end of the interval. The interval where f(x) 20 is 2.00), (d) Enter the correct symbol for the right end of the interval. The interval where f(x) ≤0 is (-0.2 o d [-10,10] by [-10,10) Xscl 1 Ysd 1 Find the equation of the line that is the perpendicular bisector of the line segment connecting (-3,7) and (1,21). Write the equation in slope-intercept form. The equation is y= (Simplify your answer. Use integers or fractions for any numbers in the equation. Do not factor.) Graph the following linear function. Give the (a) x-intercept, (b) y-intercept, (c) domain, (d) range, and (e) slope of the line. Do not use a calculator. f(x)=3x-91 Use the graphing tool on the right to graph the line.. Click to enlarge graph (a) The x-intercept is (Type an ordered pair.) (b) The y-intercept is (Type an ordered pair.) (c) Find the domain of the function. (Type your answer in interval notation.) (d) Find the range of the function. -10 B h 4 12 10- 184 16- 4 2 424 14 16 -164 10 o o 11 Solve the inequality f(x) < g(x) using the graph given below. Q -10 Y₁-f(x) -6 42 yz g(x) -8 -2 4- 4 -8 d -12- (4,3) a 10 The solution set for f(x) < g(x) is (Type your answer in interval notation.)

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Solution 1 Let fx and g Let n are give... View the full answer