Unit 2 Review Jeopardy Game

Functions, Domain & Range

100

What is a function?

A relation (x, y) where NO x-values repeat.

200

Given g(x) = -3x +1 and f(x) = x² + 7, what is f(3)?

f(3) = 16

300

Is y = 2|x-3|+4 one-to-one? 

No

400

Give the range of the function x²+y²= 4

-2 ≤ y ≤ 2 or [-2, 2]

500

Given the function h(x) = 2x +9, find x if h(x) = 23

x = 7

Domain Restrictions, Linearity, & Intercepts

100

Is (1/2)y + (2/3)x = 1 a linear equation?

Yes

200

What is the range of the function (x+3)/2?

All real numbers or (-∞, ∞)

300

What is the domain of the function (5x)/9 ?

D: All real numbers or (-∞, ∞).

400

What is the domain of the function 3/(5x+2)?

All real numbers not equal to (-2/5)

500

What is the domain of the function (4x-9)/(x(x-2))?

(-∞, 0) U (0, 2) U (2, ∞)

Piecewise & Greatest Integer Function

100

Can a piecewise function be continuous?

Yes.

Absolute Value Functions and Transformations

100

What is the range of f(x) = |x-3|?

y ≥ 0

200

What is the vertex of y = -|x+1|? Ordered pair

(-1, 0)

300

What is the vertical translation in f(x) = -|x|+4 ?

Up 4

400

Does the graph of y = 2|x +1|-1 have a maximum or minimum?

Minimum at y=-1

500

How is the graph of y = (-3/2)|x - 3|+2 transformed?

Vertical stretch by (3/2), right 3, up 2, faces down

Parent Functions

100

What is the domain of the square root function f(x) = sqrt(x)

(0, infinity)

300

Is the reciprocal or "rational" function continuous or discontinuous?

Discontinuous