Evaluating Piecewise Functions Notes

Evaluating Piecewise Functions Notes

Multiple Select

What is a possibility for x? Select all that apply.

$$x\ \le23$$

• 22

• 23

• 24

• 25

Multiple Select

What is a possibility for x? Select all that apply.

$$x>13$$

• 12

• 13

• 14

• 15

What is a piecewise function?

A piecewise function is a function that has different pieces, functions, or rules for different input (x) values.

​Una función a trozos es una función que tiene diferentes partes, funciones o reglas para diferentes valores de entrada (x).

Important Vocabulary:

• Input: "x" in the equation

• Output: "y" in the equation; can also be written as f(x)

• Domain: all of the x-values of the function

• Range: all of the y-values of the function

• Input: "x" en la ecuación

• Output: "y" en la ecuación; también se puede escribir como f(x)

• Domain: Todos los valores x de la función

• Range: Todos los valores y de la función

How to Evaluate Piecewise Equations:

With the given function and rules, you will have different inputs (x values) to "plug in" and solve to find the output (y value).

The rules will be defined by inequality symbols.

Con la función y las reglas dadas, tendrá diferentes entradas (valores x) para "conectar" y resolver para encontrar la salida (valor y).

Las reglas estarán definidas por símbolos de desigualdad.

Follow the Rules:

Multiple Choice

f(5) (input of 5) would go to...

• x + 2

• -x - 4

Multiple Choice

f(0) should go to...

• x + 2

• -x - 4

Multiple Choice

f(-2) should go to...

• x + 2

• -x - 4

Examples:

f(-2)

f(-2) = x + 2 (put in the input!)

f(-2) = -2 + 2

f(-2) = 0

f(0)

f(0) = -x - 4 (put in the input!)

f(0) = 0 - 4

f(0) = -4

Multiple Choice

f(6) = ________

• x + 2

• -x - 4

Multiple Choice

f(6) = ________

• -10

• 8

Multiple Choice

Which equation fits with f(-2)?

• x² - 1

• 5x + 3

Multiple Choice

Evaluate f(-2)

f(-2) = ____

• -7

• 3

• 7

• 15

f(0) = ?

(When x = 0, what is the y?)

Evaluating Graphs

Multiple Choice

f(2) =

• 0

• 2

• 3

• 5