Piecewise Functions Review

Vocabulary

100

A ________ function built from pieces of different functions over different intervals 

Piecewise

200

A _______ function has a graph of a straight line and a difference of 1.

Linear

300

A _______ function has a graph of a parabola and a difference of 2.

Quadratic

400

An __________  _________ (2 Words) function is a function that contains an algebraic expression within || symbols. 

Absolute Value

500

An ___________ function is a mathematical function used to calculate the growth or decay of a given set of data.

Exponential

Evaluating Functions

100

w(t) = −2t + 1; Find w(−7)

15

200

h(n) = −2n² + 4; Find h(4)

-28

300

f (x) = x² − 3x; Find f (−8)

88

400

g(a) = 3^{3a − 2} ; Find g(1)

3

500

g(x) = 3x − 3; Find g(−6)

-21

Inequality Graphs

100

x > -7 will be graphed going to the _______

Right

200

The solution to a closed circle will have ______

Brackets or []

300

Less than and less than or equal to symbols is graphed going to the ________

Left

400

The solution to an open circle will have ______.

Parenthesis or  ( , )

500

Greater than and greater than or equal to symbols is graphed going to the ________

Right

All About Piecewise functions

100

Piecewise function must have at least _______ functions. 

2

200

Piecewise functions consists of ___________, which have 4 symbols ( <, >, and etc.)

Inequality or Inequalities 

300

The x values of a function

Domain

400

Given this piecewise function, which equation would I use if I wanted to find f(1) (WRITE ONE OF THE INEQUALITIES).

h(x) = x+3    if x <-2         

          x^2    if -2<=x<1   

          -x+2   if x>=1         

-x+2

500

 Is their a parent function for piecewise functions? If so, what is it?

No

Solving Ineqaulities

100

Solve: -2x < -24

x > 12

200

6 − n ≤ −5

n > 11

300

5n+5>45

n > 8

400

2x + 8 ≥ -7 + -3x

x ≥ -3

500

x/-2 < -4

x > 8