MATH 110

Review

JeopardyThe

Transformers

Odds & Evens

Poly want a cracker

Who let the quads

out?

The O’Poly Factor

100 100 100 100 100

200 200 200 200 200

300 300 300 300 300

400 400 400 400 400

500 500 500 500 500

The transformers 100• The graph of y = f(x) is shown on the left. The graph on

the right is a transformation of f(x)

• What is the formula for the graph on the right?• Answer: 2 xfy

The transformers 200

• What is the equation that will vertically shrink the graph of by a factor of ½ and shifts the graph up 20 units?

• Answer:

xy

202

1 xy

The transformers 300

• If (4,-6) is a point on the graph of y = g(x), which of the following must be a point on the graph of y = g(2x)-1?

• Answer: (2,-7)

The transformers 400

• Given the tables for the function f(x) and w(x), find an equation for w(x) in terms of f(x).

• Answer: w(x) = f(x+2)

The transformers 500

• The graph on the right is the result of transforming the graph on the left. If the equation for the graph on the left is find the equation of remaining graphs shown.

x

y

x

y

x

y

24 xy

25.04 xy 25.04 xy

Odds and Evens 100

• Which of the following function are neither even nor odd?

• Answer: only the (3) is neither odd nor even

Odds and Evens 200

• Complete the table of values below so that the function represented is an ODD function:

• Answer: The missing values in order are 0, 6, -9

Odds and Evens 300

• Complete the table of values below so that the function represented is an EVEN function:

• Answer: The missing values in order are 0, -6, 9

Odds and Evens 400

• Determine whether the function given below is even, odd, or neither

• Answer: Odd

m

mmk

Odds and Evens 500

• If y = f(x) is an even function, which types of transformations will result in a new function which is also even?

• Answer: vertical shifts up/down, vertical stretches/shrinks, and horizontal stretches/shrinks.

Poly want a cracker 100

• What is the degree and leading coefficient of the polynomial shown?

Leading coefficient

Degree

7463 542 xxxxf

Poly want a cracker 200• Which of the following could be the

equation for the graph of the polynomial shown?

Poly want a cracker 300

• Consider the polynomial function shown below. Which of the following are true?

Poly want a cracker 400

Poly want a cracker 500• Which of the following could be the graph

of a polynomial of odd degree?

Who let the quads out? 100

Who let the quads out? 200

• Write in vertex form.

• Answer:

1603 2 xxxf

301103 2 xxf

Who let the quads out? 300

Who let the quads out? 400

Who let the quads out? 500

The O’Poly Factor 100

The O’Poly Factor 200

The O’Poly Factor 300

• Answer: b = 4

The O’Poly Factor 400

• Answer: 43

The O’Poly Factor 500

• Answer: 1