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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).

Respuesta :

xero099

Answer:

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:

[tex]f(x) = \frac{2\cdot x - 5}{2\cdot (x-1)\cdot (x+1)}[/tex]

There is one real zero (numerator) in the function (x-intercept), which is [tex]x = 2.5[/tex]. Besides, [tex]x = 1[/tex] and [tex]x = -1[/tex] 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).

floresgigi25

Answer:

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

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

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

e2020

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