Question

Select the function with an average rate of change of 4 over the interval [-1, 3].

Answer 1

Answer:y=4*-1+3

Explanation:

I don't think I fully understand the question but from what I understand this is the answer or its y=4x+3

Answer 2

The Graph Option (Should be Option B)

Here's some things we know:

• The rate of change is not constant. This is given by the fact that it gives both a point and a rate of change, which gives the implication that the "slope" (another term for the rate of change) can be different for each x value. Most of the time, it means the equation is exponential rather than linear.
• The term given is -1,3.

Why are these important?

They help us isolate our options! For starters, the equation f(x)=2x+4 is linear, which is somewhat crucial- but we know that this can't be right is because it's slope is 2 instead of 4. This gets rid of this option.

Now, we've got a good 50% of getting this question right. With the table, we need to look at the points. Because the value -1, 3 is not there, this means that there is no potential for the interval to be checked.