Question

Two different functions are shown.

Function A:



Function B:



How do the x-intercepts of the two functions compare?

The x-intercept in function B is one-third as large as the x-intercept in function A.
The x-intercept in function B is three times as large as the x-intercept in function A.
The distance between the x-intercepts in function A is half the distance between the x-intercepts of function B.
The distance between the x-intercepts in function A is twice the distance between the x-intercepts of function B.

Answer 1

The distance between the x - intercepts in function A is twice the distance between the x - intercepts of function B.

Explanation:

For the function A,

f(x) = 0 at x = 2 , 6

So, the distance between the x - intercepts for the function A

= (6 - 2)

= 4

and, from the graph, the distance between the x - intercepts for the function B

is given by,

`\mid {(-3) - (-1)} \mid`

= 2

So, the distance between the x - intercepts in function A is twice the distance between the x - intercepts of function B.