Question

If g(x) = 6x - 36, which statement is true?

A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).​

Answer 1

A.The y-intercept of g(x) is less than the y-intercept of (x).

B.The x-intercept of g(x) is less than the x-intercept of f(x).

C. The y-intercept of g(x) is greater than the y-intercept of f(x).

D. The x-intercept of g(x) is greater than the x-intercept of Ax).​

(A) I think

Explanation:

Answer 2

The y-intercept of g(x) is less than the y-intercept of f(x). (Option A).

How to calculate the equation of the line?

The equation of the given line is calculated by applying the following formula as shown below;

The general equation of a line is given as;

y = mx + c

where;

• m is the slope of the line
• c is the y - intercept of the line

The slope of the function f(x) is calculated as;

m = Δ y / Δ x

m = ( 0 - - 3) / ( 6 - 0)

m = 3 / 6

m = 1/2

The y - intercept of the line = - 3

The equation for the function f(x) is;

f(x) = x/2 - 3

We were given the function g(x) as;

g(x) = 6x - 36

So we can see that the y-intercept of g(x) is less than the y-intercept of f(x).

- 36 < - 3