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A. the slopes are equalB. the graph has a greater slopeC. the function rule has a greater slopeD. none of the above

A. the slopes are equalB. the graph has a greater slopeC. the function rule has a-example-1

1 Answer

3 votes

Answer:


C\colon\text{ the function has a greater slope}

Step-by-step explanation:

Here, we want to compare the graph and the function

To get this, we find the slope of the graph

The slope of the3 graph can be calculated by applying the slope equation to any two selected points. Let us use the points (0,2) and (-1,0)

We have it as:


m\text{ = }(y_2-y_1)/(x_2-x_1)\text{ = }(2-0)/(0+1)\text{ = 2}

Now, for the function, we have the slope as 3 (the slope is change in y divided by the change in x)

From what we can see, 3 is greater than 2 and as such the slope of the function is greater

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