Question

The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches.
h(x) = (x)(x – 13)

What is the height of the hill in the painting 3 inches from the left side of the picture?


inches

Answer 1

For this case we have the following function:

$h (x) = (x) (x - 13)$

To answer the question, we must calculate the value of h (x) when x equals 3.

We then have to substitute values:

$h (3) = (3) (3 - 13)$

Rewriting the equation we have:

$h (3) = (3) (- 10)\\h (3) = -30$

Answer:

The height of the hill in the painting 3 inches from the left side of the picture is:

$h (3) = -30$

Note: The value of the function is negative. It is recommended to review the function again. The result must be positive.

Answer 2

H(x) = (x)(x-13)
x=3
h(x) = h(3) = 3 (3-13) = 3 (-10) = -30

May be the function is mistyped because it is weird that the valid equation reports a negative result for a height. Let me know if this is the expected answer.