Which statements describe the function f(x)=2x-5/2(x^2-1)? Check all that apply.
f(x) has one real zero because it crosses the x-axis once.
f(x) has two real zeros because it crosses the x-axis twice.
f(x) has real zeros at 1 and –1.
f(x) has a real zero at 2.5.
f(x) has x-intercepts at (1, 0) and (–1, 0).
f(x) crosses the x-axis when x = 1 and x = –1.
f(x) has an x-intercept at (2.5, 0).

1) f(x) has one real zero because it crosses the x-axis once.

2) f(x) has a real zero at 2.5.

3) f(x) has an x-intercept at (2.5, 0).

Step-by-step explanation:

The function can be reorganized as follows:

There is one real zero (numerator) in the function (x-intercept), which is . Besides, and are poles (denominator), that is, x-values so that function is undefined.

Lastly, the correct answers are described below:

1) f(x) has one real zero because it crosses the x-axis once.

2) f(x) has a real zero at 2.5.

3) f(x) has an x-intercept at (2.5, 0).

{3 + i, 3 - i, 3, -1}

step-by-step explanation:

the function makes a strait line horizontally with no x intercept but a y intercept at 9.