AP Precalculus

Calc Medic

100

This equation's domain is all real numbers and never has imaginary solutions

What is a Quadratic Equation?

200

This is the average rate of change when given m=10 and m=25

(10,28.89)

(25,42.24)

What is 0.89?

300

This is the estimation for the inverse function.

k=800

w=(k/130)^4/3

What is 11.277

400

This is the average speed in miles per hour when 6.72 miles and 62.683 min is given.

What is 0.107 mi/min?

500

These are all the solutions to the trigonometric equation.

2cosθ-5=-7 for -<θ<2π

What is θ=0.848 and 2.293?

Unit 1

100

This is a formula for the given input and output values creating a slope

What is Rate of Change?

200

This is the average rate of change for the given function.

y=2/3x

What is 0?

300

This is the domain of the rational function.

f(x)=x²-4/3x+12

What is (-∞, -4) (-4,∞)

400

This is the end behavior of rational function.

f(x)=x²-4/3x+12

What is lim f(x)=-∞, x-->-∞ and lim f(x)=∞, x-->∞

500

THis graph for f has a domain of [-4,3] and range of (3,9)

g(x)=-f(x+5)+2

Find domain and range

What is domain shifting left 5 -->[-9,-2]

range vertical reflection, shifts up 2-->(-7,-1)

Unit 2

100

A function that's always increasing or decreasing, with no extrema, graphs always concave up or down but do not have inflection points.

What is an exponential function.

200

This is the rewritten form of a given logarithm as an expontent

log₃81=4

What is 3⁴=81

300

This is the expansion of the given logarithm.

log(4x²y)

What is log4+2logX+logY

400

This is the inverse of the following logarithm

f(x)=3⋅log₅x

_{What is f}^-1(x)=5^x/3

500

THis is the domain and range of the inverse along with the inverse function.

f(x)=3/x+6

What is the domain and range of f^-1:D,x≠0/ R,y≠-6

f^-1(x)=3/x-6

Unit 3A

100

Half the difference between the maximum and minimum values.

What is Amplitude?

200

This is the amplitude for the given sinusoid function.

f(x)=3sin(2x)

What is 3?

300

This is the value of the expression.

sin(-π/6)

What is -1/2

400

This is the concavity of a given function in which f(θ)=sinθ

3π<θ<2π

What is sinθ is concave up and increasing?

500

This is the midline in which there is a max and min value given.

Max=225 / Min=100

What is 162.5 midline?

Unit 3B

100

The reciprocal of period. The number of cycles the graph completes per one radian

What is frequency?

200

This is the translation for the reciprocal trig function

secx

What is 1/cosx

300

This is the identity for the given reciprocal.

sin²x+cos²x=1

What is cot²x=csc²x-1

400

This is the exact value of the given trig equation.

0<x<2π

What is 0π, 2π, π, 3π/4, 7π/4?

500

This is the range for the given equation.

f(x)=3secx-1

What is range of (-∞,-4]u[2,∞)