Pls (kinda easy)

a function is shown: f(x) = 4x2 − 1.

choose the equivalent function that best shows the x-intercepts on the graph.

f(x) = (4x + 1)(4x − 1)
f(x) = (2x + 1)(2x − 1)
f(x) = 4(x2 + 1)
f(x) = 2(x2 − 1)

.

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form because then we can find the x-intercept in the following manner:

We factor our function and get

Now this form let's us easily find the x-intercepts:

and so we pick the second choice: f(x)=(2x+1)(2x-1).

answer:

step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).