Question

Hi there! I am struggling with my question.

Here is the question and the choices

Answer 1

Answer: Choice 1 and 3 counting from the top

Explanation:

f(x) has an x-intercept at y is 0 or f(x) is 0

`x^(2) - 7x = 0`

`x(x-7) = 0`

So either x is 0 or 7 which means it x-intercept's at (0,0) and (7,0)

f(x) has an y-intercept at x is 0

`0^(2) - 7(0) = 0`

So it intersects with y-axis at (0,0)

For g(x), we can use the graph to see where it intersects with the x-axis and the y-axis.

For the x-axis, we have (-1,0) and (-5,0) and for the y-axis we have (0,5)

Checking each choice, choices 1 and 3 are the only ones that are correct