Use the image to answer the question.

Question

A parabola and a dotted straight line are drawn on a coordinate plane. The x-axis ranges from negative 5 to 10 in one-unit increments and the y-axis ranges from 0 to 15 in one-unit increments.

The graph of g(x)
and f(x)
is shown. What is the smaller solution to g(x)=f(x)
?

(1 point)
Responses

3
3

6
6

13
13

1
1
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Answer 1

To determine the smaller solution to the equation \( g(x) = f(x) \) using the provided graph description, we typically look for the x-values where the two curves intersect.

If you can visualize or describe the intersection points of the parabola \( f(x) \) and the line \( g(x) \) based on the x-axis ranging from -5 to 10, the smaller solution will be the less x-value at which they intersect.

From your note, the options provided are:

• 3
• 6
• 13
• 1

Among these, the smallest value is 1. Therefore, if the graph confirms that \( g(x) \) and \( f(x) \) indeed intersect at \( x = 1 \), then the smaller solution to \( g(x) = f(x) \) is:

1