Functions
Function Operations
Inverses
Domain and Range
Compounding Interest
Exp/Logs
Angles
Trig Functions
100
For the table to represent a function, what has to fill the blank?
10
100
If f(x) = 2x + 1 and g(x) = x5, find (f + g)(x).
(f + g)(x) = 2x + 1 + x5
100
Does this function have an inverse?
Yes (passes HLT)
100
What is the range?
{-2, -1, 0, 2}
100
Noah has $5000 in his bank account. The account earns 4% interest compounded monthly. What is in his account after 10 years?
$5963.33
100
Rewrite in Logarithmic form.
4x = 256
log4256 = x
100
Classify the angle as acute, right, obtuse, or straight.
47 degrees
Acute
100
What is the mnemonic device do we use to remember our three trigonometric ratios?
SOH CAH TOA
200
Which function family does this belong to?
f(x) = x2 - 5x + 6
Quadratic
200
If f(x) = 2x + 1 and g(x) = x5, find (f*g)(x).
(f*g)(x) = 2x6 + x5
200
Verify graphically if this function has an inverse:
f(x) = -x4 + 2
No (Fails HLT)
200
Domain and Range?
D = {-2, 0, 2, 5}
R = {1, 2, 4}
200
Jess has $250 in her bank account that earns 12% interest compounded daily. It is 2023. How much is in her account in 2029?
$513.54
200
Use the properties of logarithms to expand as much as possible:
log((x^5y^4)/z^3)
5logx + 4logy - 3logz
200
What is the measure of an angle supplementary to a 64 degree angle?
116 degrees
200
Which trig function could you use to find x?
Tangent
300
Which function family is this, and how is this transformed from the parent function?
f(x) = -3(x - 4)3 + 2
Cubic, right 4 up 2 stretched by a factor of 3 and reflected over the x-axis
300
If f(x) = 2x + 1 and g(x) = x5, find g(f(2)).
g(f(2)) = 3125
300
If f(x) = 3x + 4, find the inverse function.
f-1(x) = (x - 4)/3
300
Domain and Range?
D = [-3, 2]
R = [1, 4]
300
Evan has $1000 in their account that earns 7% compounded continuously. What is in their account after 8 years?
$1750.76
300
Solve for x:
log(x+2)-14=-12
x = 98
300
Convert all three from degrees to radians, or radians to degrees.
30 degrees
(3pi)/4 radians
135 degrees
pi/6
300
Find x:
x=19.42
400
If f(x) = 3x2 + 4x, what is f(2)?
f(2) = 20
400
If f(x) = 2x + 1 and g(x) = x5, find f(g(x)).
f(g(x)) = 2x5 + 1
400
If f(x) = (x - 3)2, find f-1(x).
f-1(x) =
sqrt(x) + 3
400
What is the domain of this function?
f(x) = 5log(2x + 6) +743
x > -3
400
Jaimie's account earns 5% interest compounded weekly. How long will it take to double in value?
About 13.8 years
400
Solve for x:
e4x+2 + 6 = 11
x = (ln5 - 2)/4
400
What is the length of an arc that has a radius of 6 meters and a central angle of
(5pi)/6 radians
S = 15.7cm
400
Solve the triangle:
Sides = 7, 24
Angle = 73.74 degrees