https://www.physicsforums.com/attachment.php?attachmentid=47375&stc=1&d=1337282982(adsbygoogle = window.adsbygoogle || []).push({});

Given the following graph of the function y = ƒ(x) Find the interval(s) x value(s) for which each of the following is/are true ( Enter your answers separated by commas with no spaces. eg. A

ƒ′(x) = 0

= B, C

ƒ′(x) > 0

= D

ƒ′(x) < 0

= A

The displacement of an object is given by the equation s(t) = 2t^2 + 5 then at time:

a. t = 2 the velocity is = 13

b. t = 5 the velocity is = 55

c. t = 2.5 the velocity is = 18

For the function ƒ(x) = x^3 - 4x, what is the average rate of change between:

a. x = 3 and x = 4? = 33

b. x = 0 and x = 0.5? = -3.75

What is the simplified average rate of change between x = 2 and x = 2 + h for the function:

(Enter your expression as you would enter an equation in Winplot)

a. ƒ(x) = x2? = 4+h

b. ƒ(x) = 1/x? = -1/4+2h

For the function ƒ(x) = 2x^2 + 5, calculate f(a+h)-f(a)/h

a. x = 5

= 55

b. x = 0.1

= 5.02

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Quick Questions: Need Checking

**Physics Forums | Science Articles, Homework Help, Discussion**