Question

For a one-to-one function it is known that f(0)=6 and f(8)=0. Which of the following must be true about the graph of this function’s inverse?

(1) its y-intercept = 6
2) its y-intercept = 8
(3) its x-intercept = -6
(4) its x-intercept =- 8

Answer 1

The y-intercept of the graph of the inverse of a one-to-one function with f(0) = 6 and f(8) = 0 must be 8.

Step-by-step explanation:

To determine which statements are true about the graph of the inverse of a one-to-one function, we need to consider the given information: f(0) = 6 and f(8) = 0. In the inverse function, the x-values and y-values are swapped. So, if f(0) = 6, then in the inverse function, we have f-1(6) = 0. Similarly, if f(8) = 0, then in the inverse function, we have f-1(0) = 8. Therefore, the correct statement is 2) its y-intercept = 8.