Question

Can someone please help?

The table represents the function f(x).

x|| 0, 1, 4, 9, 16
f(x)|| -4, -3, -2, -1, 0

If g(x) = 4√x - 8, which statement is true?

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

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

C.) The x-intercept of g(x) is equal to the x-intercept of f(x).

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

Answer 1

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

Explanation:

Answer 2

A.) The y-intercept of g(x) is less than the y-intercept of f(x). Let's check this out: the y-int. of g(x) is -8, whereas the y-int. of f(x) is -4. Is this statement true or false? Is -8 < -4?

B) The y-intercept of g(x) is equal to the y-intercept of f(x). See comments for (A), above. False.

C) The x-intercept of g(x) is equal to the x-intercept of f(x). Here we have to check out the table. We see that x=16 when y=0, so the y-int. of f(x) is (16,0). The x-intercept of 4√x - 8 =g(x) is the value of x at which 4√x - 8= 0. This is (4,0). Thus, the 2 y-intercepts are not the same.

D) "The x-intercept of g(x) is greater than the x-intercept of f(x)." See (C), above. For g(x) the x-int. is (4,0) and for f(x) the x-int. is (16,0).