Is it a function? & Function Notation

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Education

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9th - 12th Grade

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Katie Yingling

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7 Slides • 21 Questions

Is it a function? &
Function Notation

By Katie Yingling

How do I know if it's a function?

The "x" cannot repeat!

Each number for x can only be used one time because each input, x, can only have one output, y.

we use the Vertical Line Test to determine if it's a function. The vertical line can only touch the graph once.

On the graph

each number for x can only be used one time. X cannot repeat. Y doesn't matter.

On a table

each number for x can only match with one number for y. In this case, the inputs, x, have more than one output, y.

In a map

each number for x can only be used once. X cannot repeat. Y doesn't matter.

In a set

Multiple Choice

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this mapping a function or not a function?

Function

Not a Function

Multiple Choice

Is this table a function or not a function?

Function

Not a Function

Multiple Choice

Is this graph a function or not a function?

Function

Not a Function

Multiple Choice

Function

Not a Function

Multiple Choice

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

Multiple Choice

Function

Not a Function

Multiple Choice

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

Function Notation

Writing an equation with f(x)= instead of y=

Sometimes it's better to write an equation in function notation to represent different values of x and y that are solutions to the equation.

Function Notation:

With f(x), since x is in the parentheses, plug in the number in parentheses for x and find the y value. Therefore, when x is 4, y is 11.

Function Notation:

Multiple Choice

$f\left(x\right)$

is the same thing as ______.

input

an equation

Multiple Choice

How would you write

$y=2x-3$ in function notation?

$y=2x-3$

$f=2x-3$

$f\left(x\right)=2x-3$

Multiple Choice

How do you read

$f\left(x\right)$ ?

f x

f of x

f parenthesis x

f with an x inside parenthesis

Multiple Choice

Translate the function notation into a coordinate point.

$f\left(-1\right)=5$

$\left(-1,5\right)$

$\left(1,5\right)$

$\left(5,1\right)$

$\left(5,-1\right)$

Multiple Choice

Translate the coordinate pair into function notation.

$\left(0,8\right)$

$f\left(0\right)=8$

$f\left(0\right)=-8$

$f\left(8\right)=0$

$f\left(-8\right)=0$

Multiple Choice

Given the function
$f\left(x\right)=x+3$

Evaluate:

$f\left(-2\right)$

$f\left(-2\right)=-1$

$f\left(-2\right)=1$

$f\left(-2\right)=5$

$f\left(-2\right)=-5$

Multiple Choice

Given
$g\left(x\right)=4x-2$

Evaluate:

$g\left(-7\right)$

$g\left(-7\right)=-30$

$g\left(-7\right)=-26$

$g\left(-7\right)=-36$

$g\left(-7\right)=26$

Multiple Choice

Given:
$f\left(x\right)=6x$

Find x when $f\left(x\right)=-24$

$x=-4$

$x=4$

$x=-144$

$x=-6$

Multiple Choice

Given:
$g\left(x\right)=3x-5$

Find x when $g\left(x\right)=4$

$x=3$

$x=-3$

$x=7$

$x=-3$

Multiple Choice

Given the graph,

find:

$f\left(2\right)$

$f\left(2\right)=5$

$f\left(2\right)=4$

$f\left(2\right)=3$

$f\left(2\right)=0$

Multiple Choice

Given the graph,

find:

$f\left(4\right)$

$f\left(4\right)=3$

$f\left(4\right)=1$

$f\left(4\right)=2$

$f\left(4\right)=0$

Multiple Choice

Given the graph,

find the value of x when:

$f\left(x\right)=0$

$x=1$

$x=0$

$x=7$

$x=2$

Multiple Choice

Given the graph,

find the value of x when:

$f\left(x\right)=5$

$x=5$

$x=0$

$x=3$

$x=2$

Is it a function? &
Function Notation

By Katie Yingling

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Is it a function? & Function Notation

Is it a function? &Function Notation

How do I know if it's a function?

Function Notation

Is it a function? &Function Notation

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Function Notation

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