0. Functions

Intersection problems Find the following points of intersection.

The point(s) of intersection of the parabolas y= x² and y= -x² + 8x

Graphing functions Sketch a graph of each function.

ƒ(x) = { 2x if x ≤ 1 , 3-x if x > 1

Graphing functions Sketch a graph of each function.

g(x) = { 4-2x if x ≤ 1 , (x-1)² + 2 if x > 1

Using the piecewise function below, evaluate $$$f\left(-1\right)$

Using the piecewise function below, evaluate $f\left(5\right)$

In Exercises 35 and 36, find the (a) domain and (b) range.

𝔂 = { -x - 2, -2 ≤ x ≤ - 1

{ x, -1 < x ≤ 1

{ -x + 2, 1 < x ≤ 2

Piecewise-Defined Functions

In Exercises 35 and 36, find the (a) domain and (b) range.

𝔂 = { √ -x, -4 ≤ x ≤ 0

{ √ x, 0 < x ≤ 4

Piecewise-Defined Functions

Find a formula for each function graphed in Exercises 29–32.

b. <IMAGE>

Piecewise-Defined Functions

Find a formula for each function graphed in Exercises 29–32.

a. <IMAGE>

Piecewise-Defined Functions

Find a formula for each function graphed in Exercises 29–32.

b. <IMAGE>

In Exercises 37 and 38, write a piecewise formula for the function.

<IMAGE>

Piecewise-Defined Functions

Find a formula for each function graphed in Exercises 29–32.

a. <IMAGE>

Piecewise-Defined Functions

Find a formula for each function graphed in Exercises 29–32.

b. <IMAGE>