Wild Card
Unit Circle
Composition of Functions
Inverse Functions
Transformations
100
Write the equation of a line that has a slope of 3 and passes through the point (-2,0).
the equation is
y=3x+6
100
Find sin of
(5pi)/4
Sin is
-(sqrt2)/2
100
Find g(f(x)) when:
f(x)=3x-2
g(x)=x+6
g(f(x))=3x+4
100
f(x) has a domain of [-5,2] and a range of [0,7]. What is the domain of
f^-1(x)?
The domain of
f^-1(x) is [0,7]
100
What transformation does b preform?
y=a(bx-c)+d
horizontal stretch/compress
200
Solve in interval notation
6x-7le9x-1<6x-4
The interval notation is
(-2,-1)
200
Convert 300 degrees into radians.
300 degrees in radians is
(15pi)/9
200
Express h(x) as a composition of functions using f(g(x)). Try to list at least two different combinations.
h(x)=-3x^2+2
Some possible answers (others might be possible):
200
What is the inverse function of
f(x)=3x-2
The inverse function is
f^-1(x)=(x+2)/3
200
What is the amplitude and midline of the sin function?
The amplitude is 2 and the midline is at y=-1
300
Solve for x using the quadratic formula
-4x^2+5x+3=0
The x's are
(-5-sqrt73)/-8,(-5+sqrt73)/-8
300
What is the reference angle for
(13pi)/11
The reference angle is
(2pi)/11
300
Is the following function even, odd, or neither?
f(x)=-x^3+5x
The function is odd.
300
What is the inverse function of
f(x)=4x^2-5
The inverse function is
f^-1(x)=sqrt((x+5)/4)
300
What is the standard period of sin and cos?
2pi
400
Simplify the Root:
root(3)(56x^4z^3)
2xzroot(3)(7x)
400
What is sec of an angle with a sin of
sqrt3/2
Two correct answers are: 2 and -2
400
What is the difference quotient of the function
f(x)=x^2+3x-6
The difference quotient is
=2x+h+3
400
What is the inverse function of
f(x)=2sqrt(x-3)+1
The inverse function is
f^-1(x)=((x-1)/2)^2+3
400
What is the phase shift of the following cosine function
f(x)=cos(3x+(2pi)/3)
The phase shift is
-(2pi)/9
500
A hiker is looking at a tree with an angle of elevation of 36°. The tree is 32ft tall. How far is the hiker from the tree? Round to nearest whole number.
The tree is
approx 44ft
500
Find cot of 225 degrees
cot of 225 degrees = 1
500
Evaluate f(g(x)) at x=3
g(x)=(x+3)^2
f(x)=5x-2
f(g(3))=178
500
What is the inverse function of
f(x)=(1-2x)/(5x+3)
The inverse function is
f^-1(x)=(1-3x)/(5x+2)
500
The function f(x)=cos is graphed in red. What is the equation for the blue graph, written as g(x)? (Hint: transformations)
The function is
g(x)=2cos(x-1)