Let f(x)=x2+3x−4 .

what is the average rate of change for the quadratic function from x=−3 to x = 8?

let f(x)=−12(x+2)2+5 .

what is the average rate of change for the quadratic function from x=−3 to x = 1?

which function grows at the fastest rate for increasing values of x?

g(x)=50x+35

f(x)=5⋅3x

h(x)=6x2+5x+20

Here are a ton of correct answers. I got a few questions wrong but they still show the correct answer.

Option B: grows at the fastest rate for increasing values of x

Step-by-step explanation:

Given the function

we have to find the average rate of change for the quadratic function from x=−3 to x = 8

Now, given function is

we have to find the average rate of change for the quadratic function from x=−3 to x = 1

Now, we have to choose the function which grows at the fastest rate for increasing values of x.

Since we know that quadratic function grows faster than a linear function and an exponential function grows faster than a quadratic function, so the function of an exponential function will have the fastest rate for increasing value of x.

Since an exponential function is in form:

From the given choices we can see that function represented by option A is a linear function, function represented by option B is exponential function and function represented by option C is a quadratic function.

Option B:

∴ option B is the correct choice.

answer: 15

step-by-step explanation:

where is the picture

step-by-step explanation: