Question

use the following information to answer the next question
the partial graph of a radical function is shown.

1. which labeled point on the graph relates to the zeros of the function?

a. point a
b. point b
c. point c
d. point d

1. what is the x-intercept of \\( f(x) = \frac{1}{2x - 8} \\)?

a. there is no x-intercept.
b. 4
c. 1
d. 0

Explanation:

For Question 7:

The zero of a function is the x-value where the graph crosses the x-axis (y=0). Point C is the only labeled point lying on the x-axis, so it corresponds to the function's zero.

Step1: Set $f(x)=0$ for x-intercept

$\frac{1}{2x-8}=0$

Step2: Analyze the rational equation

A rational function equals 0 only if its numerator is 0 (and denominator is not 0). Here, the numerator is 1, which can never equal 0.

Answer:

C. Point C

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For Question 8: