# Given #f(x) = 4x + 1# how do you find the average rate of change over [-6,5]?

Memorize this: The average rate of change of function

By signing up, you agree to our Terms of Service and Privacy Policy

To find the average rate of change of a function over an interval, you can use the formula:

Average Rate of Change = (f(b) - f(a)) / (b - a)

where f(a) and f(b) are the values of the function at the endpoints of the interval, and a and b are the endpoints themselves.

For the function f(x) = 4x + 1 over the interval [-6, 5], the average rate of change is:

f(-6) = 4(-6) + 1 = -24 + 1 = -23 f(5) = 4(5) + 1 = 20 + 1 = 21

Average Rate of Change = (21 - (-23)) / (5 - (-6)) Average Rate of Change = (21 + 23) / (5 + 6) Average Rate of Change = 44 / 11 Average Rate of Change = 4

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the points where the graph of the function #y = x - (x / 18)^2# has horizontal tangents and what is the equation?
- What is the instantaneous velocity of the ball at t=2 seconds if a ball is thrown in the air and its height from the ground in meters after t seconds is modeled by #h(t)=-5t2+20t+1#?
- How do you find the derivative of #f(x) = x^2+3x+1# using the limit definition?
- The tangent line to the graph of #y=2x^2−3x+1# at the point #P(a,b)# is parallel to the line #y=5x#. This tangent line crosses the x-axis at #(d,0)#. How do I find the value of #d#?
- How do you use the limit definition of the derivative to find the derivative of #f(x)=1/x#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7