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Which statement is true regarding the functions on the graph

Which statement is true regarding the functions on the graph-example-1
User DaveX
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1 Answer

5 votes

Answer:

f(3)=g(3)

Explanation:

In this graph, the x (horizontal axis) represents the input and the y (vertical axis) represents the output. We know this because a function of x (f(x) and g(x) are two examples here) takes in x as the input, and y is the only variable left to be the output.

The question is asking when the two functions are equal based on the possible answers. First, we have to locate the point where the two lines meet, as depicted by the black dot in the picture. To find the x value of this, we can draw a vertical line (the light blue one I drew in the picture) and find where it meets the x axis (the horizontal one). This lines up with x=3. Similarly, for the y value, we can draw a horizontal line (the light green one) and find where it meets the y axis (the vertical one). This is when y=6.

Therefore, our functions are equal when x=3 and y=6. This means that f(3) = 6 and g(3)=6, and f(3)=6=g(3)

Which statement is true regarding the functions on the graph-example-1
User FZs
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6.6k points