Unit 3B studyguide Functions

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Unit 3B –Functions Study Guide
Learning Target:
8.F1- I can explain that a function represents a
relationship in which each input has exactly one
output and the output depends on the input.
Notes and Resources:
Remember the mapping method and vertical line test!
1.) Determine if the following represent
a function:
(0,2) (1, 4) (2,6) (1,8)
X
1
2
3
Learning Target :
8.F2 I can compare properties of two functions
each represented in a different way:
Notes and Resources:
Y
7
7
10
Which function has a greater rate of change?
Function A: Alex goes to the fair. He pays
$10 for admission and #3.50 per game.
Algebraically/Numerically/Verbally/Graphically
Function B:
X
3
Y
10
5
13
7
16
Function C: y = 10x + 5
Learning Target :
8.F3 A I can analyze the rate of change between
the input, output values to determine if a
function is linear or non linear.
Notes and Resourcess: http://stricklerwms.weebly.com/8f3examples-of-functions.html
http://www.ixl.com/math/grade-8/identify-linear-andnonlinear-functions
Tell whether the relationship is Linear,
Exponential or Neither. Explain your
reasoning
.
Learning Target :
8.F3 B I can give examples of relationships that
Notes and Resources:
A. Classify each of the equations as
(Linear or Non Linear)
are non linear functions.
Y=X²
Y=X³ -5
Y=2X +3
B.1.Quadratic functions are non-linear (T or F)
2. Exponential functions are linear (T or F)
3. Y=3 is a nonlinear function (T or F)
Learning Target :
8.F4- I can use the initial value and rate of
change to model a linear function
Given a real world situation be able to write
a linear equation, create a table and graph.
Example: Ken’s Canoe Rental charges $10
per person when renting a canoe but has a
$20 rental fee per trip
Learning Target :
8.F5A Given a graph I can describe the
qualitative features of the function.
Notes and Resources:
Piecewise – write a story based on a graph
Learning Target :
8.F5 Given a verbal description, I can sketch a
graph that displays the qualitative feature of a
function.
Notes and Resources:
Draw a graph a table based on a given
story. Sarah left her house for a walk at a
constant rate. She met a friend along the
way so she stopped and talked for a while,
she began walking again at the same
constant rate and then realized she needed
to get back home so she turned around and
ran back to her house.
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