MATH 107 Quiz 2 Name Click here to enter text. Each question is worth 5 points. Questions 1 - 5 are multiple choice; you do not need to show your work. Short answers for Questions 6 - 10; show your work to earn full credit - highlight answers in yellow or draw a box around the answer. You can insert additional lines if needed. Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form and round decimals to hundredths. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Write complex numbers in the form a + bi. Applied problems must have the variables identified and an equation for full credit. MULTIPLE CHOICE Check the box of the one alternative that best completes the statement or answers the question. 1.) Find the distance between the pair of points (-4, 8) and (-9, 15). Give an exact answer and an approximation to two decimal places. 74 148 12 , 3.46 24 , 4.90 , 8.60 , 12.17 None of these 2.) The points ( 3 , -2) and (8 3 , 3) are the points at which a particular diameter of a circle intersects the circle. What are the coordinates of the center of the circle? ( 9 23 , 12 ) ( 9 23 , 12 ) ( 1123 , 12 ) ( 1123 , 12 ) None of these 3.) Given that 4 29 29 4 4 29 f ( x )= x 4 f 5x , find 5 ( ) . 1 29 4 None of these 4.) A graph of a function g is shown to the right. Find g(0). 1 0 3.6536 -4.5 None of these { 4 x +5 for x 0 f ( x ) = 47 x for x < x <7 5.) For the piecewise function, x for x 7 find f(8). 8 37 -52 7 None of these 2 Short answers. You must show your work to earn full credit. Highlight answers in yellow or draw a box around the answer. 6.) 7.) x 4 7 x3 +3 ( ) f x = Find the domain of the function 3 x2 10 x25 . Write answer in set notation. The temperature T in degrees Fahrenheit t hours after 6 AM is given by T(t) = - t 2 + 8t + 3 for 0 t 12. Find T(12) and interpret the value. 8.) Determine algebraically whether the graph y = (x - 9)(x + 9)of is symmetric with respect to the x-axis, the y-axis, and the origin. 9.) For the function f(x) = 14 - 5x3, construct and simplify the difference quotient 3 f ( x+ h )f ( x) . h 10.) AAA Technology finds that the total revenue function associated with producing a new type of computer chip is R(x) = 70 - 0.3x2, and the total cost function is C(x) = 8x + 16 where x represents the number of units of chips produced. Find the total profit function, P(x). 4 MATH 107 Quiz 2 Name Click here to enter text. Each question is worth 5 points. Questions 1 - 5 are multiple choice; you do not need to show your work. Short answers for Questions 6 - 10; show your work to earn full credit - highlight answers in yellow or draw a box around the answer. You can insert additional lines if needed. Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form and round decimals to hundredths. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Write complex numbers in the form a + bi. Applied problems must have the variables identified and an equation for full credit. MULTIPLE CHOICE Check the box of the one alternative that best completes the statement or answers the question. 1.) Find the distance between the pair of points (-4, 8) and (-9, 15). Give an exact answer and an approximation to two decimal places. 74 148 12 , 3.46 24 , 4.90 , 8.60 , 12.17 None of these 2.) The points ( 3 , -2) and (8 3 , 3) are the points at which a particular diameter of a circle intersects the circle. What are the coordinates of the center of the circle? ( 9 23 , 12 ) ( 9 23 , 12 ) ( 1123 , 12 ) ( 1123 , 12 ) None of these 3.) Given that 4 29 29 4 4 29 f ( x )= x 4 f 5x , find 5 ( ) . 1 29 4 None of these 4.) A graph of a function g is shown to the right. Find g(0). 1 0 3.6536 -4.5 None of these { 4 x +5 for x 0 f ( x ) = 47 x for x < x <7 5.) For the piecewise function, x for x 7 find f(8). 8 37 -52 7 None of these 2 Short answers. You must show your work to earn full credit. Highlight answers in yellow or draw a box around the answer. 6.) 7.) x 4 7 x3 +3 ( ) f x = Find the domain of the function 3 x2 10 x25 . Write answer in set notation. The temperature T in degrees Fahrenheit t hours after 6 AM is given by T(t) = - t 2 + 8t + 3 for 0 t 12. Find T(12) and interpret the value. 8.) Determine algebraically whether the graph y = (x - 9)(x + 9)of is symmetric with respect to the x-axis, the y-axis, and the origin. 9.) For the function f(x) = 14 - 5x3, construct and simplify the difference quotient 3 f ( x+ h )f ( x) . h 10.) AAA Technology finds that the total revenue function associated with producing a new type of computer chip is R(x) = 70 - 0.3x2, and the total cost function is C(x) = 8x + 16 where x represents the number of units of chips produced. Find the total profit function, P(x). 4 MATH 107 Quiz 2 Name Click here to enter text. Each question is worth 5 points. Questions 1 - 5 are multiple choice; you do not need to show your work. Short answers for Questions 6 - 10; show your work to earn full credit - highlight answers in yellow or draw a box around the answer. You can insert additional lines if needed. Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form and round decimals to hundredths. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Write complex numbers in the form a + bi. Applied problems must have the variables identified and an equation for full credit. MULTIPLE CHOICE Check the box of the one alternative that best completes the statement or answers the question. 1.) Find the distance between the pair of points (-4, 8) and (-9, 15). Give an exact answer and an approximation to two decimal places. 74 148 12 , 3.46 24 , 4.90 , 8.60 , 12.17 None of these 2.) The points ( 3 , -2) and (8 3 , 3) are the points at which a particular diameter of a circle intersects the circle. What are the coordinates of the center of the circle? ( 9 23 , 12 ) ( 9 23 , 12 ) ( 1123 , 12 ) ( 1123 , 12 ) None of these 3.) Given that 4 29 29 4 4 29 f ( x )= x 4 f 5x , find 5 ( ) . 1 29 4 None of these 4.) A graph of a function g is shown to the right. Find g(0). 1 0 3.6536 -4.5 None of these { 4 x +5 for x 0 f ( x ) = 47 x for x < x <7 4