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How many distinct zeros does the graph have?
The graph is cutting the x-axis at "-2, -1, 0, 2 and 4"

Choose 1 answer:
(A) Three
(B) Four
(c) Five
(D) Six

How many distinct zeros does the graph have? $\newline$ Choose $1$ answer: $\newline$ (A) Three $\newline$ (B) Four $\newline$ (c) Five $\newline$ (D) $\operatorname{Six}$

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Rational functions: asymptotes and excluded values

Full solution

Q. How many distinct zeros does the graph have?

\newline

Choose

1

answer:

\newline

(A) Three

\newline

(B) Four

\newline

(c) Five

\newline

(D)

\operatorname{Six}

Define Zero of Graph: Identify what a zero of a graph means. $\newline$ A zero of a graph, also known as an $x$ -intercept, is a point where the graph crosses the $x$ -axis. Each distinct point where the graph crosses the $x$ -axis represents a distinct zero.
Count X-Intercepts: Count the given x-intercepts. $\newline$ The graph is cutting the x-axis at $-2, -1, 0, 2$ and $4$ . These are all the x-intercepts given, and each represents a distinct zero.
Determine Distinct Zeros: Determine the number of distinct zeros. $\newline$ Since there are no repeated values among $-2, -1, 0, 2$ , and $4$ , we have $5$ distinct zeros.

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