A function is represented by the graph.

Complete the statement by selecting from the drop-down menu.
The y intercept of the function y = 2x - 2 is Choose...
the y intercept of the function represented in the graph.
<
>
=

1 answer

To find the y-intercept of the function \( y = 2x - 2 \), we set \( x = 0 \):

\[ y = 2(0) - 2 = -2 \]

So the y-intercept of the function \( y = 2x - 2 \) is \(-2\).

Now, comparing it with the y-intercept of the function represented in the graph, you need to complete the statement with either "<", ">", or "=" depending on the y-intercept of the graph in question.

If the y-intercept of the graph is also \(-2\), then:

The y-intercept of the function \( y = 2x - 2 \) is = the y-intercept of the function represented in the graph.

If the y-intercept of the graph is greater than \(-2\), then:

The y-intercept of the function \( y = 2x - 2 \) is < the y-intercept of the function represented in the graph.

If the y-intercept of the graph is less than \(-2\), then:

The y-intercept of the function \( y = 2x - 2 \) is > the y-intercept of the function represented in the graph.

Therefore, you would need to assess the y-intercept from the graph to fill in the blank appropriately.