Functions
Classify the function by degree and number of terms:(x) = -3x3 + 1
cubic binomial
The graphs of inverse functions are _______?
Reflected over the line y = x
Simplify (2x - 3)2
4x2 - 12x + 9
When is a function undefined?
When you divide by zero
Convert 180 degrees to radians
Pi
Solve for x:
|2x - 1| = 5
{-2, 3}
If f(x) has a domain of (0, 5] and a range of (-2, 7], what is the range of f -1(x)?
(0, 5]
{-6, 1}
Simplify
(x2- 4)/(x2+10x+16)
(x-2)/(x+8)
Find cos 135o
-sqrt2/2
If g(x) = 3 |x - 2| - x, what is g(0.5)?
4
What is the inverse of the function f(x) = x2 - 3?
f -1(x) = +/- sqrt (x + 3)
Given: f(x) = -x4 - 3x3 + x - 7, fill in the missing information for end behavior.
As x-> -infinity, f(x) -> _______
As x -> infinity, f(x) -> _______
-infinity and -infinity
Ekansh can paint a room in 5 hours. Shreeya can paint the same room is 6 hours. How long, to the nearest tenth of an hour, would it take them to paint the room if they worked together?
2.7 hours
Given: h(x) = x3 +2x2 -x, what is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?
0.41
Reflected over the x-axis, shifted right 2, shifted up 1
What is the inverse of the function f(x) = 2x?
f -1(x) = log2x
Find the roots of p(x) = x (x-2)2 (x+5)
0, 2, 2, -5
What is the domain of f(x) = (3x-1)/(x2 -16)?
All real numbers except -4 and 4
Given: f(x) = 2x3 + 2x -2 and g(x) = -|x+1|+4, find the y-value when f(x) = g(x).
2.089
Given: f(x) = {2x-1, when x<4 and -3, when x>4}
and g(x) = {x2-2, when x<0 and -2x+5, when x>0}
Find 2f(5) + g(-3)
1
Ghavin invests $20,000 in an account that pays 5.25% annual interest compounded continuously. Using the formula A = Pert, how much will Ghavin have in 10 years?
$33,809.18
Find the zeros of f(x) = x3 + 9x
0, 3i, -3i
Factor: 6x3y + 10x2y - 4xy
2xy(3x-1)(x+2)
M is a point in the coordinate plane with a terminal angle of x. What quadrant must M be in if tanx<0 and sinx>0?
II