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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

13
13

6
6

1
1
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Answer 1

To determine the smaller solution to \( g(x) = f(x) \), you need to identify the points where the graphs of the two functions intersect. These intersection points represent the solutions to the equation \( g(x) = f(x) \).

If you can provide a description of the parabola and the dotted line, or any specific values for the functions, I would be able to help you more precisely identify the smaller solution. If you visualize the graph, look for where the two curves intersect and identify the x-values at those points. The smallest x-value from those intersections will be the answer you're seeking.

Please provide additional details or the coordinates of the intersection points if you have them!

Answer 2

there are points at (6,13) and (1,3)

Answer 3

Given the points of intersection are \( (6, 13) \) and \( (1, 3) \), the x-coordinates of these points are \( 6 \) and \( 1 \).

To find the smaller solution to \( g(x) = f(x) \), we take the smaller of the two x-values:

• 6
• 1

Thus, the smaller solution is:

1