Match the Functions
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Transformations
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Piecewise Functions
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100
Which letters represent the Square Root Function?
H & I
100
Which letters represent the Cubic Function?
A & N
100
Write a function g(x) for the given transformation of f(x)=root3(x) .
Reflected Down (x-axis) & Translated Up 6
g(x)=-root3(x)+6
100
What transforms f(x) = x3 - 4 to g(x) = 3(x+2)3 - 7?
Vertically Stretched by 3
Translated Left 2
Translated Down 3
100
Evaluate the following piecewise function for f(3).
f(3) = 5
100
Graph the following piecewise function.
200
Which letters represent the Exponential Function?
E & M
200
Which letters represent the Absolute Value Function?
D & K
200
Write a function for the given transformation of f(x)=x2.
Vertically Compressed by 1/4 Translated Right 2
g(x)=1/4(x-2)^2
200
Write the translated function from the parent function from the graph.
f(x)=-(x+2)^2+2
200
Evaluate the following piecewise function for f(-2).
f(-2) = -8
200
Graph the following piecewise function.
300
Which letters represent a Linear Function?
C & L
300
Which letters represent the Logarithmic Function?
B & P
300
Vertically stretch the following function by 4 and shift it left 3. Call it g(x).
f(x)=sqrt(x+5)
g(x)=4sqrt(x+8)
300
Write the translated function from the parent function from the graph.
f(x)=(x-3)^3
300
Evaluate the following piecewise function for f(-4).
f(-4) = 0
300
Write the piecewise function from the graph.
f(x) = x , x < 0
f(x) = 2x , x >= 0
400
Which letters represent the Rational Function?
G & J
400
Which letters represent the Quadratic Function?
F & O
400
Reflect the following function across the y-axis and horizontally compress it by 1/5. Call it g(x).
f(x)=x^2-3
g(x)=(-5x)^2-3
400
State the domain and range of the graph below.
Domain: [-4, infinity)
Range: [0, infinity)
400
Evaluate the following piecewise function for f(1).
f(1) = -4
400
Write the piecewise function from the graph.
f(x) = x2+3 , x > 0
f(x) = -x-2 , x <= 0
500
Describe the transformations to the graph of the parent function for the following:
g(x)=(-2x-10)^3-7
f(x)=x^3 is reflected in the y-aixs, horizontally compressed by a factor of 1/2, shifted left 5 and down 7
500
What is the domain and range of the inverse to the function f(x)=-(x-3)^2+7
Domain: (-infinity, infinity)
Range: (-infinity, 7]
500
Write a piecewise function that would be the same as the graph of f(x)=abs(x+3)
f(x)={-x-3, x<-3
f(x)={x+3, x<=-3
500
Determine if the following function is continuous. If it is not, determine the type of discontinuity is has.
Non-Removable jump discontinuity at x = 3.