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Recursive Functions
Inverse Functions
Piecewise Functions
Transformations
Polynomial Functions
100
If F(n) = F(n-1) + 3 and F(3) = 13, find F(4).
16
100
Find the inverse of the function: {(3, -2), (-9, -1), (-2, -2), (5, 3)}. Is the inverse a function?
{(-2, 3), (-1, -9), (-2, -2), (3, 5)}, Not a function
100
Let f(x) = { 2x - 7 if x < 4 } {(1/2)x + 3 if 4 <= x < 10} {-3 if 10 <= x} Find f(2)
-3
100
If the graph of f(x) = |x| is moved 4 units up, what is the new equation for the graph?
f(x) = |x| + 4
100
In which quadrants is the graph of y = x^2 (x^2 means "x squared)
First and second
200
If F(n) = 2*F(n-1) and F(6) = 54, find F(7).
108
200
What is the range of the inverse of the function {(-1, 9), (5, -7), (4, -4), (-4, 8), (0, 6)}
Range: -1, 5, 4, -4, 0
200
Let f(x) = { 2x - 7 if x < 4 } {(1/2)x + 3 if 4 <= x < 10} {-3 if 10 <= x} Find f(4)
5
200
If the graph of f(x) = |x| is moved 7 units up and 3 units left, what is the new equation for the graph?
f(x) = |x + 3| + 7
200
In which quadrants is the graph of y = -x^7
Quadrant 2 & 4
300
If F(n) = 3F(n-1) + 3 and F(2) = 4, find F(3).
15
300
What is the range of the inverse of the function {(8, -2), (4, 9), (5, 1), (-3, 0), (-2, 12)}
Range: 8, 4, 5, -3, -2
300
Let f(x) = { 2x - 7 if x < 4 } {(1/2)x + 3 if 4 <= x < 10} {-3 if 10 <= x} Find f(8)
7
300
How is the graph of g(x) = 3|x - 2| - 5 related to the graph of f(x) = |x|
Skinnier, move 2 units right and 5 units down
300
How many possible zeros are in f(x) = 5(x^6)-12(x^4)+2(x^9) ?
9 zeros
400
If F(n) = F(n-1) - 7 and F(6) = -3, find F(4).
11
400
What is the inverse of f(x) = 3x - 9 ?
f(x) = (1/3)x + 3
400
Let f(x) = { 2x - 7 if x < 4 } {(1/2)x + 3 if 4 <= x < 10} {-3 if 10 <= x} Find f(0)
-7
400
How is the graph of g(x) = -0.4|x + 6| - 2 related to the graph of f(x) = |x|
Wider, flipped over x axis, 6 units left and 2 units down
400
Write a function with zeros at .5, 12, -6, 7, and 4.
f(x)= (x - .5)(x - 12)(x + 6)(x - 7)(x - 4)
500
If F(n) = 2F(n-2) + 4 and F(8) = 12 and F(9) = 18, find F(4).
F(4) = 0
500
What is the inverse of f(x) = 2x + 4 ?
f(x) = (1/2)x - 2
500
Let f(x) = { 2x - 7 if x < 4 } {(1/2)x + 3 if 4 <= x < 10} {-3 if 10 <= x} Find f(10)
-3
500
How is the graph of g(x) = -2(x - 2) + 5 related to the graph of f(x) = 4(x + 3) - 7
Flipped over x axis, less steep, moved 5 units right and 12 units up.
500
What are the zeros for f(x) = (3x - 5)(2x + 7)(x - 8)
Zeros at (5/3), (-7/2), and 8