Unit 1 (Functions)
Given f(x)= 2x2-2x
Evaluate f(0.5)
-0.5
T/F
The vertical asymptote for the logarithmic function
log11(11x) is x = 1
False....it's x = 0
Evaluate tan(-π/6)
-√3/3
What would C be if the equation below had a phase shift of left 12 ?
-4sin(2x+C)-11
-24
Sometimes, Always, or Never
Regarding the conic section → parabola
A negative 'A' value means it opens DOWN
Sometimes
(side-openers)
f(x) = -f(x) means f(x) isn't a function
If f(x) = -f(x) then (2, 3) → (2, -3)
NOT a function...ever
Find 'M' if 1+log49x - log45 is written in the form log4(Mx)
36/5
Find the sin(α) if tan(α) = 3 and cos(α) < 0
-3√10/10
Where is the smallest, positive, decreasing node for the graph of y = -2cos(π/3x)-7
(I want the point (x, y) )
(4.5, -7)
Evaluate the difference quotient for:
h(x)=25x2-2x
50x+25h-2
How long will it take for an account to go from $20 to $80 in an account that accrues interest twice a year with a ridiculous interest rate of 400%
(you may only write down 7 symbols [log counts as 3])
log34/2
How many degrees is 2π/3 + π/8
142.5°
Evaluate sin(cos-1(sin(-4π/3)))
1/2
Find 'x' such that f(x) = -6
f(x) = -3x2/3
+ or - 2√2
Find M if the solution to 4(2x/3)=2 could be written in the form 0.5log4M
8
How many inches will a weather vane spin through if it's diameter is 2 feet and it spins through 3π radians
3 feet
Find the two LARGEST negative asymptotes for the graph of
0.5cot(2x-π/2)-1000
-π/4 and -3π/4
Find the sum of A and B given that g(x) = Ax+B f(x) = 2x2+x and g(f(x)) = -4x2-2x+1
-1
How many hours would it take to paint a 4000 in2 painting if there was already 10 in2 of paint on the canvas and I want to increase it by 25% every minute? (calculator ok and round answer to the 10ths place)
0.4hrs
Sometimes, always or never
taking the secant of an obtuse angle will return a value that is less than -1.
Always
Write a sine equation for the cosine one given below if the phase shift is the smallest positive number it can be.
5+2cos(4x+π/3)
5-2sin(4x-π/6)