Which statements describe the function ? check all that apply. f(x) has one real zero because it crosses the x-axis once. f(x) h

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Which statements describe the function ? check all that apply. f(x) has one real zero because it crosses the x-axis once. f(x) h

as 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).

Mathematics

1 answer:

KonstantinChe [14] · Answer 1 · 2023-03-21T03:52:48+03:00

Statements that describe the given function are:

(A) f(x) has one real zero because it crosses the x-axis once.
(D) f(x) has a real zero at 2.5.
(G) f(x) has an x-intercept at (2.5, 0).

<h3>What is a function?</h3>

A function from a set X to a set Y allocates exactly one element of Y to each element of X.
The set X is known as the function's domain, while the set Y is known as the function's codomain.

To find the statements that describe the given function:

The following function can be reorganized: $f(x)=\frac{2*x-5}{2*(x-1)*(x+1)}$
There is one real zero (numerator) in the function (x-intercept), which is x = 2.5.
Besides, x = 1 and x = -1 are poles (denominator), that is, x-values so that function is undefined.