Graph the inverse of the one-to-one function. -108642 Choose the correct graph of the function and...

Transcribed Image Text:

Graph the inverse of the one-to-one function. -108642 Choose the correct graph of the function and its inverse below. The graph of the function is dashed, and the graph of the inverse is solid. Q A. 10 8- Q -6- C 6 18- 10- 2 4 6 8 10 - C. 10 10 B. 10 D. The function does not have an inverse. Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth. ( 8-- = -7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is (). (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) OB. The solution is the empty set. Determine whether the function is one-to-one. f(x)=3x-3 Is the function one-to-one? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. No, because the f(x) value 2 corresponds to two x-values and OB. Yes, because each x-value corresponds to only one f(x) value, and each f(x) value corresponds to only one x-value. Write the given statement in an equivalent exponential form. log 6 1296 = 8 The equivalent exponential form of the given statement is (Type your answer using exponential notation. Do not simplify.) Graph the function f(x)=6x+2. Give the domain and range. 10- 8 6- 4- 2 Q x -10 -8 -6 -4 -2 2 4 6 8 10 is 2 4- 6 8 -10- Use the graphing tool to graph the function. Click to enlarge graph The domain of the function f(x) = 6x+2 (Type your answer in interval notation.) The range of the function f(x)=6x+2 (Type your answer in interval notation.) is Use the change-of-base theorem to find the logarithm. log 1/5 9 log 1/5 9= (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.) An exponential equation such as 5x=9 can be solved for its exact solution using the meaning of logarithms and the change-of-base theorem. Because x is the exponent to which 5 must be raised in order to obtain 9, the exact solution is log 59, or log 9 log 5' For the following equation, give the exact solution in three forms similar to the forms above. In 9 or In 5 4 A = 19 For the given equation, the exact solutions in three forms are (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) Determine whether the function graphed is one-to-one. Is the function graphed one-to-one? O A. Yes, because each x-value corresponds to only one y-value, and each y-value corresponds to only one x-value. B. Yes, every horizontal line intersects the graph at exactly one point. C. No, because each x-value corresponds to every y-value, and each y-value corresponds to every x-value. OD. No, there is a horizontal line that intersects the graph at more than one point. 10 -10 0 10 -10- log 2 3r3 Use the properties of logarithms to rewrite the expression. Simplify the result as much as possible. Assume all variables represent positive real numbers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. log 2 3r3 5 Z The expression cannot be simplified. Solve the logarithmic equation. In 5x = 3.2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. (Type an exact answer in simplified form. Use a comma to separate answers as needed.) OB. The solution is the empty set. Graph the inverse of the one-to-one function. -108642 Choose the correct graph of the function and its inverse below. The graph of the function is dashed, and the graph of the inverse is solid. Q A. 10 8- Q -6- C 6 18- 10- 2 4 6 8 10 - C. 10 10 B. 10 D. The function does not have an inverse. Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth. ( 8-- = -7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is (). (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) OB. The solution is the empty set. Determine whether the function is one-to-one. f(x)=3x-3 Is the function one-to-one? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. No, because the f(x) value 2 corresponds to two x-values and OB. Yes, because each x-value corresponds to only one f(x) value, and each f(x) value corresponds to only one x-value. Write the given statement in an equivalent exponential form. log 6 1296 = 8 The equivalent exponential form of the given statement is (Type your answer using exponential notation. Do not simplify.) Graph the function f(x)=6x+2. Give the domain and range. 10- 8 6- 4- 2 Q x -10 -8 -6 -4 -2 2 4 6 8 10 is 2 4- 6 8 -10- Use the graphing tool to graph the function. Click to enlarge graph The domain of the function f(x) = 6x+2 (Type your answer in interval notation.) The range of the function f(x)=6x+2 (Type your answer in interval notation.) is Use the change-of-base theorem to find the logarithm. log 1/5 9 log 1/5 9= (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.) An exponential equation such as 5x=9 can be solved for its exact solution using the meaning of logarithms and the change-of-base theorem. Because x is the exponent to which 5 must be raised in order to obtain 9, the exact solution is log 59, or log 9 log 5' For the following equation, give the exact solution in three forms similar to the forms above. In 9 or In 5 4 A = 19 For the given equation, the exact solutions in three forms are (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) Determine whether the function graphed is one-to-one. Is the function graphed one-to-one? O A. Yes, because each x-value corresponds to only one y-value, and each y-value corresponds to only one x-value. B. Yes, every horizontal line intersects the graph at exactly one point. C. No, because each x-value corresponds to every y-value, and each y-value corresponds to every x-value. OD. No, there is a horizontal line that intersects the graph at more than one point. 10 -10 0 10 -10- log 2 3r3 Use the properties of logarithms to rewrite the expression. Simplify the result as much as possible. Assume all variables represent positive real numbers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. log 2 3r3 5 Z The expression cannot be simplified. Solve the logarithmic equation. In 5x = 3.2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. (Type an exact answer in simplified form. Use a comma to separate answers as needed.) OB. The solution is the empty set.