M8U5-Functions Review Smoot

M8U5-Functions Review Smoot

Test-Feb 11

Functions

• A relationship between two or more Variables

ELO5A

• Can you recognize a Function?

• Remember: A function is a relation between two or more variables-

• Different representations: Graph, Table, equation (y=mx+b),

Recognize functions from different Representations

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Is this relation a Function?

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Is this relation a function?I

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Is this relation a function?

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Is this relation a function?

Multiple Choice

Choose the letter that represents the table that is NOT a function.

• a

• b

• c

• d

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Is this relation a function?

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Is this relation a function?

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Is this relation a Function?

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Is this relation a function?

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Is this relation a function?

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Is this relation a function?

Function Notation with Different Representations

• Equation

• Mapping

• Table

• Graph

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Is this relation a function?

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Is this relation a Function?

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Is this relation a function?

Multiple Select

Which is NOT a function? Mark all that apply.

• Graph 1 & 2

• Graph 3, 4 & 5

• Graph 2 only

• Graph 1, 2, 3, 4, & 6

• Graph 1, 2, 4 & 6

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If

$h\left(x\right)=4x-2$  , evaluate  $h\left(x+2\right)$  

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$h\left(t\right)=-16t^2+68t+2\$  

The Function represents the height  $h\left(t\right)$  of a football in feet  $t$  seconds after it is kicked. Evaluate  $h\left(4\right)$  

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If

$f\left(x\right)=4x-5$  , Evaluate  $f\left(2\right)$  

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$g\left(x\right)=x^2+1$  , evaluate  $g\left(-1\right)$  

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If  $f\left(x\right)=3x+7$  , evaluate  $f\left(x\right)=3x+7$  

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$g\left(x\right)=x^2-2x$  evaluate  $g\left(0\right)$  

Multiple Select

There are multiple ways for a function to be represented. Choose the list that contains all of the ways we have been focusing on.

• ordered pairs, graphs, tables

• equations, graphs, tables, ordered pairs, my grocery list

• Graphs, tables, ordered pairs, mapping, equations

• None of these. Functions are terrible and I can't wait for the unit to be over.

Multiple Select

Evaluate the following Function notations using the given equation: 

$$f\left(x\right)=13x-7$$  

f(3)
f(0)
f(10)
f(-1)
Check each box containing possible solutions.

• {(3,9), (0,6), (10,16), (5,-20)}

• {(3,30), (0,-13), (16,125), (5,-21)}

• {(3,32), (0,-7), (10,123), (-1,-20)}

Multiple Choice

Using the given mapping diagram, choose the correct set of solutions that best represents the function. 
Evaluate the following:

$$t\left(5\right)$$   $$t\left(1\right)$$   $$t\left(3\right)$$   $$t\left(7\right)$$  

• {(5,-2), (1,10), (3,4), (7,-8)}

• {(5,4), (1,-8), (3,10), (7,-2)}

• {(-2,5), (10,1), (4,3), (-8,7)}

Multiple Choice

Using the given table, choose the correct set of solutions that will best represent the function.

• {(3,6), (9,21), (-1,-4), (8,18.5)}

• {(3,9), (9,24), (-1,-1), (8,21.5)}

• {(9,3), (24,9), (-1,-1), (21.5,8)}

Multiple Choice

Using the given graph choose the correct set of solutions.

• {(0,2), (-4,-6), (1/2,1), (4,10)}

• {(2,-2), (-6,2), (1,-1/2), (10,5)}

• {(2,0), (-6,-4), (1,1/2), (10,4)}

Open Ended

Can you compare linear functions when represented in different forms? Explain at last one way you would compare these functions when given different inputs.

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Evaluate  $n\left(3\right)$  

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Evaluate  $n\left(10\right)$  

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Evaluate  $c\left(7\right)$  

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Evaluate  $s\left(4\right)$  

Multiple Choice

Is  $$c\left(2\right)>s\left(2\right)$$  

• True

• False

Multiple Choice

$$v\left(2\right)-100=0$$  

• True

• False

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Evaluate  $v\left(10\right)$  

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Evaluate  $v\left(4\right)$  

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Evaluate  $s\left(0\right)$  

Multiple Choice

• A

• B

• C

• D

Multiple Choice

What is the rate of change for  $$s\left(x\right)$$  

• A

• B

• C

• D

• E

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Multiple Choice

Which linear function is not equivalent with the other two?

• The Graph

• The Table

• The Equation

Multiple Choice

• $$j\left(x\right)$$

• $$m\left(x\right)$$

Don't Forget-

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Use the table to write a linear function that relates y to x. (y=mx+b no spaces)

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Write a linear function that relates y to x.

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Use the table to write a linear function.

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Write a linear function relating y to x using the given graph.

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Using the given graph, write a linear function relating y to x.

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Given the graph, create a linear function that relates y to x.

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Use the graph to write a linear function depicted in the table.

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using the given table, write a linear function describing the relationship between x and y.

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Use the given table to write a linear function.

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Create a function that best represents the given graph

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Given the coordinates of B is (-4,31) , and the coordinates of C (-2,13). Create a linear function to represent the graph.

Multiple Choice

The function y=c(x) is given by c(x)=ax+b, and y=g(x) is represented by the graph. Which statement about y=c(x) MUST be true if c(0)>g(0).

• a>1.5

• b>3

• b>5

• a>3