Question

Ques 13 could you please help?

Answer 1

The answer is D.

Explanation:

A. Incorrect. The "image set" refers to the entire domain of `f(x)`. Option A describes the range.

B. Incorrect. This wrongly uses interval notation do describe the domain by including 4 in the interval. The domain of `f(x)` is `[1,4)`, not `[1,4]`.

C. Incorrect. As `f` increases, then decreases within the interval from #(1,3).

D. Correct. We can see from the graph that `f` is decreasing from 2 to 3.

E. Incorrect. If we graph the inverse of `f(x)` by reflecting `f(x)` over `y=x` (or imagining the graph), `f^-1(x)` does not pass the vertical line test.