Question

Which answers are factors of the function represented by the graph?

Select ALL that apply.

A. (x+2)

B. (x-4)

C. (x+4)

D. (x+9)

E. (x-2)

F. (x-9)

Answer 1

By finding the zeros (x-intercepts) of the function represented by the giving graph, the factors of the function are:

A. $\mathbf{(x+2)}$

B. $\mathbf{(x-4)}$

Recall:

• The factors of a function represented on a graph are the zeros of the graph.
• The zeros of a graph representing a function are the x-intercepts of the graph.
• x-intercepts of a graph representing a function is the value of x on the x-axis where the curve intercepts the x-axis.

In the same vein, the x-intercepts of the graph given for the function will help us determine the factors of the function.

• Thus:

From the graph,

the x-intercepts are: -2 and 4.

x = -2

x + 2 = 0

x = 4

x - 4 = 0

The factors of the function will be $(x + 2) (x - 4)$

In conclusion, by finding the zeros (x-intercepts) of the function represented by the giving graph, the factors of the function are:

A. $\mathbf{(x+2)}$

B. $\mathbf{(x-4)}$

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