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Use the image to answer the 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

1
1

13
13

6
6

3

1 answer

To find the smaller solution to \( g(x) = f(x) \), we generally look for the x-coordinate where the graphs intersect. Since I can't see the image, I will guide you through the process conceptually.

  1. Identify the points where the two graphs intersect (the x-coordinates).
  2. Among the x-coordinates where they intersect, determine the smaller value.

Based on your responses, you are indicating the possible solutions. Assuming you checked for intersections at those given points (1, 6, 3, and 13), the smallest value given in your options is:

  • 1
  • 3
  • 6
  • 13

Thus, the smallest solution to \( g(x) = f(x) \) based on these numbers is:

1

However, if the intersection points have higher values, be sure to verify against the graph where they truly intersect. If possible, review the image for the exact intersections!