Jeopardy Math ReviewEvaluating a

FunctionExamining

f(x)

Examining the Graph of f(x)

Combining Functions

Inverses

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Is f(x) from Set A to Set B a function?Set A {5, 8, -2, 5, 4}Set B {2, 9, -3, -10, 5}

Answer: No

Answer: f(5) = 66

Find f(5) given f(x) = 3x2-9

Answer: x = -3, 3

Find f(x) = 5 given f(x) = 2x2 - 13

Answer: f(x+2) = 3x2 +12x +2

Evaluate f(x+2) given f(x) = 3x2 - 10

Given f(x) = x2 – 2x + 1 find the zeros of f(x).

Answer: x = 1

Define the domain of

Answer: x cannot be 4

82

2)(

x

xf

Define the domain of f(x):

Answer: x has to be greater than or equal to 3

93)( xxf

Determine if f(x) = 5x2 - 5x + 2 is even, odd, or neither:

Answer: neither

Find the points of intersection of f(x) = x2 and g(x) = -3x + 10.

Answer: x = -5, 2

Find the average rate of change of f(x) = 5x-2 from x = -3 to x = 2

Answer: ARC = 5

Determine if the graph represents a function:

Answer: Yes, it is a function.

Answer: Domain [-5, 5] Range [0, 4]

Find the domain and range of the graph:

Describe any increasing, decreasing, or constant intervals of the graph as well as relative min/max values:

Identify the Parent Function and describe the shifts/transformations of the graph:

Write the equation of the line given the reciprocal parent function and with shift values of A = -2, B = 3, C = -5.

Answer: f(x) = -2 - 5x + 3

Answer: x2 + 3x - 4

Calculate f(x) + g(x)

Given f(x) = 3x – 8 and g(x) = x2 + 4

Answer: -x2 + 3x -12

Calculate f(x) – g(x)

Given f(x) = 3x – 8 and g(x) = x2 + 4

Answer: 3x3 - 8x2 + 12x -32

Calculate f(x)•g(x)

Given f(x) = 3x – 8 and g(x) = x2 + 4

Answer:

Calculate f(x) g(x)

Given f(x) = 3x – 8 and g(x) = x2 + 4

Answer: 3x2 + 4

Calculate f(g(x)):

Given f(x) = 3x – 8 and g(x) = x2 + 4

The graph of an inverse function is a reflection over…

Answer: The line y = x.

Determine if the graph is one-to-one:

Answer: No

Answer: The inverse may exist, but is NOT a function

If a function is not one-to-one, what does that mean in terms of inverses?

Answer

Calculate the inverse of f(x) = 3 .4x - 5

Answer

Calculate the inverse of f(x).

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