Question

The graph attaches shows the function f(x) and the table represents the function g(x)

which statement is true?

A the x-intercept of f(x) is equal to the x-intercept of g(x)

B the y-intercept of f(x) is equal to the y-intercept of g(x)

C the y-intercept of f(x) Is greater than the y-intercept of g(x)

D the x-intercept of f(x) is greater than the x-intercept of g(x) ​

Answer 1

Statement D is true

Explanation:

We should know the following:

x-intercept is the value of x when y = 0

y-intercept is the value of y when x = 0

As shown on the graph, we can deduce the following:

For f(x) : at y = 0 ⇒ x = 1 And at x = 0 ⇒ y = -1

So, for f(x) ⇒ x-intercept = 1 & y-intercept = -1

For g(x) : at g(x) = 0 ⇒ x = -1 And at x = 0 ⇒ g(x) = 1

So, for g(x) ⇒ x-intercept = -1 & y-intercept = 1

Comparing the results with the given options:

A) the x-intercept of f(x) is equal to the x-intercept of g(x) (Wrong)

B) the y-intercept of f(x) is equal to the y-intercept of g(x) (Wrong)

C) the y-intercept of f(x) Is greater than the y-intercept of g(x) (Wrong)

D) the x-intercept of f(x) is greater than the x-intercept of g(x) ​ (true)