Study your flashcards anywhere!

Download the official Cram app for free >

  • Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off

How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key


Play button


Play button




Click to flip

15 Cards in this Set

  • Front
  • Back
if f(x)= (x^3+5)/20

solve f(x)=4
4=(x^3 + 5)/20
80=x^3 + 5
The domain is the set of ________

while the range is the set of ________
inputs; outputs
What type of function has different formulas on different intervals?
Piecewise functions
if y=f(x) then what are the input and outputs of f inverse?
If you are given a formula for y=f(x), how do you find the inverse formula?
solve the formula for x. What ever x equals, this is the inverse formula.
How is concavity related to a function?
The concavity of a function tells you if the RATE OF CHANGE of the function is INCREASING OR DECREASING
A function that is concave up has an __________ rate of change while a function that is concave down has a ___________ rate of change
What is the standard form of a quadratic function?
ax^2 +bx +c
what is the factored form of a quadratic function?
a(x-r)(x-s) where r and s are roots of the function.
What is the quadratic formula used for and what is the formula?
Used to solve for the roots of an equation.

x=[-b +/- sqrt(b^2-4ac)]/(2a)
true or false
If f(3)=5 and f is invertible then
True or false

a function can be both increasing and concave down
true, consider log(x) or ln(x)
If a table has points (-2,5), (0,6), (2,8), (4,12), is the graph concave up, down or neither?
compare the rates of change for each interval and see if they are increasing,decreasing or neither:

interval 1: (5-6)/(-2-0) = 1/2
interval 2: (6-8)/(0-2) = 1
interval 3: (8-12)/(2-4)= 2

since 1/2<1<2 the slope is increasing from left to right so the function is concave up.
If the height above the ground of an object at time t is given by s(t)=a(t^2) +bt + c, then s(0) tells us what?
the height above the ground of the object at time t=zero.
True or false

To solve a quadratic equation, one should get all the terms to one side and zero on the other side, then find the zeros of the function.

To solve a linear function, one should try to get x on one side and all the other terms on the other