Expressions, Equations, and Inequalities
Piecewise Functions
Transformations
Inverses
Combinations and Compositions
100
Is "3x^2+4x-1 < 2" an expression, equation, or inequality?
Inequality
100
How many parts does the piecewise function f(x) have?
3
100
What type of transformation occurs between f(x)=x^2 and f(x)=-x^2 ?
Reflection
100
For a function to be invertible, it must pass the ______ line test.
Horizontal
100
A(x) = 5x+3, B(x) = 4x^2, Find (A+B)(x)
(A+B)(x) = 4x^2+5x+3
200
Is "5x+3" an expression, equation, or inequality?
Expression
200
Find f(2)
f(2) = -1
200
Name the transformation. f(x) = 3x+3 --> g(x) = x+1
Compression (by factor 3)
200
Find the inverse. h(x)=4x
h(x)=1/4*x
200
A(x) = 5x+3, B(x) = 4x^2, Find (B-A)(x)
(B-A)(x) = 4x^2 - 5x - 3
300
How many solutions does the following equation have: 3x+2=8
1 solution
300
Find f(-3)
f(-3) = 0
300
Name the transformation type and direction. f(x) = x^2+3 --> g(x) = (x-2)^2+3
Translation right by 2
300
Find the inverse. h(x)=5x-3
h(x)=(x+3)/5
300
A(x) = 5x+3, B(x) = 4x^2, Find (A*B)(x)
(A*B)(x) = 20x^3 + 12x^2
400
How many solutions does the following equation have: y=4x-2
Infinite solutions
400
Find f(6)
f(6) = 5
400
Transform the function by stretching it by 4. f(x)=x^3
g(x)=4x^3
400
Find the inverse. h(x)=x^2
h(x)=squareroot(x)
400
A(x)=5x+3, B(x)=4x^2, Find (A o B)(x)
(A o B)(x) = 20x^2 + 3
500
What is the solution to the equation -3x-2=4
x=-2
500
Find g(-2)
g(-2) = -4
500
Transform the function by translating it left by 3. f(x)=x^3+3
g(x)=(x+3)^3+3
500
Find the inverse. h(x)=(x+3)^2 - 1
h(x)=squareroot(x+1) - 3
500
A(x)=5x+3, B(x)=4x^2, Find (B o A)(x)
(B o A)(x) = 4(5x+3)^2
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