AP PRECALC (my internal tabula rasa)

1.1-1.5

100

Cyril is a master procrastinator and working in a  time crunch to do his project (t) and drinks monster to to keep working (m) what is the dependent and independent

m(t) or ind: time dep:monster

200

The average rate of change of 

h(t)=3t-t² over the interval 2≤ t≤5.

-4

300

is there a max or min ?

f(x)=6x⁷+3x⁴-4x+2

none

400

what is the avg rate of change for f(x)=3x²-2x

+6

500

The polynomial function g is given by g(x)=(x-6)(x²+2x+2) what are the zeros of g

g has exactly one distinct real zero and two non-real zeros

1.7-1.12

100

state the domain in interval notation f(x)= x+1/2x+5

Domain:

(- ∞ ,-5/2]U[-5/2, ∞ )

200

what's the hole for h(x)= (x+5)²/x²+8x+15

-5

300

The cost per cookie for making cookies is inversely proportional to the square root of the number of cookies made. If it costs $2 each to make 9 cookies, how much would it cost for each cookie to make 25 cookies?

c=$1.20

400

find the zeros 

h(x)=x²-3x-10/x²+6x

x=5 and -2

500

(3x-1)⁸

find the 5th term given the binomial expansion

5670x⁴

2.1-2.7

100

f(x)=9(3.1)^x

exponential 

growth or decay

growth

200

Could the function represent a linear function, exponential or neither 

(5,3),(6,7),(7,10)

neither

300

Find an equation that gives the 𝒏th term of each sequence. Use the initial value (k=0) of the sequence in your equation.

{4/3,1,3/4,9/16...}

g_n=16/9(3/4)ⁿ

400

Let h(x)= 2 * 6^x/3 Find h(-1)

2/³√6

500

Given f(x)= 5x-2b while g(x)=4bx. If f(g(1))=36 what is g(f(1))

8

2.9-2.14

100

rewrite the logarithms as exponents q

log₄1/64=3

4^-3=1/64

200

Is the f(x) and g(x) inverses

f(x)=2*log₂x

g(x)=2^2x

Not inverses

300

Let x and y be positive constants. Write each as a single logarithm

1/2(logx + 3log y)

log√xy³

400

find the inverse of 

j(x)= 2e^x+8-5

ln( x+5/2)-8=y

500

if log_0.2(x+2)<log_0.04(x+2) then lies in which of the following intervals

[-1,∞)

3.1-3.12

100

In which quadrant is the terminal ray 

θ=2.9π

quadrant II

200

find the value of each expression

cos 4π/2

-1/2

300

The function f is given by f(θ)= conθ (describe the concavity of f on the interval ,and if f is increasing or decreasing on the interval 

π/2<θ< π

concave down and decreasing

400

Use trig identities to solve the trig equations for 0≤ x≤ 2x. Find exact values

cos x/sec x= 3/4

x= π/6,5π/6,2π/6,11π/6

500

Use trig identities to solve the trig equations for 0≤ x≤ 2x. Find exact values

cos(2x)+sin² x= 0

x=π/2,3π/2