Jeopardy Math Review Evaluating a Function Examining f(x) Examining the Graph of f(x) Combining Functions Inverses 100 200 300 400 500.

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Jeopardy Math Review Evaluating a Function Examining f(x) Examining the Graph of f(x) Combining Functions Inverses

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) = 3x 2 -9

Answer: x = -3, 3 Find f(x) = 5 given f(x) = 2x

Answer: f(x+2) = 3x 2 +12x +2 Evaluate f(x+2) given f(x) = 3x

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

Define the domain of Answer: x cannot be 4

Define the domain of f(x): Answer: x has to be greater than or equal to 3

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

Find the points of intersection of f(x) = x 2 and g(x) = -3x 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) = x + 3

Answer: x 2 + 3x - 4 Calculate f(x) + g(x) Given f(x) = 3x – 8 and g(x) = x 2 + 4

Answer: -x 2 + 3x -12 Calculate f(x) – g(x) Given f(x) = 3x – 8 and g(x) = x 2 + 4

Answer: 3x 3 - 8x x -32 Calculate f(x)g(x) Given f(x) = 3x – 8 and g(x) = x 2 + 4

Answer: Calculate f(x) g(x) Given f(x) = 3x – 8 and g(x) = x 2 + 4

Answer: 3x Calculate f(g(x)): Given f(x) = 3x – 8 and g(x) = x 2 + 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).