Question

Determine the x-intercept points of the function h(x) = (x – 5)(x – 6).

Question 4 options:

A)

(5,0) and (6,0)

B)

(–5,0) and (–6,0)

C)

(5,0) and (–6,0)


D)

(–5,0) and (–6,0)

Answer 1

The x-intercept points of the function h(x) = (x – 5)(x – 6) are found by setting h(x) to zero, which gives x values of 5 and 6. Thus, the x-intercepts are (5,0) and (6,0).

Step-by-step explanation:

To determine the x-intercept points of the function h(x) = (x – 5)(x – 6), we need to find the values of x when h(x) is equal to zero. The x-intercept points occur when the output of the function, or y, is zero. In this case, setting h(x) equal to zero would give us the following:

0 = (x – 5)(x – 6)

This equation is satisfied for x = 5 and x = 6, giving us two points where the graph of the function crosses the x-axis. Therefore, the x-intercepts are (5,0) and (6,0).

The correct answer is: A) (5,0) and (6,0)