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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 75=x^3 75^(1/3)=(x^3)^(1/3) 75^(1/3)=x 

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?

input=y
output=x 

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

increasing,
decreasing 

What is the standard form of a quadratic function?

ax^2 +bx +c


what is the factored form of a quadratic function?

a(xr)(xs) 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^24ac)]/(2a) 

true or false
If f(3)=5 and f is invertible then finverse(5)=3 
true


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: (56)/(20) = 1/2 interval 2: (68)/(02) = 1 interval 3: (812)/(24)= 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 
true
