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Function Notation - CR
HS: High School
Created on September 9, 2024
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Transcript
Evaluating Functions
Objectives
- Write relations in functions notation - Evaluate relations in function notation - Solve in function notation
Back
Back
Functions
Below is a mapping of a function called f.
The function of -1 is to produce 3 The function of 0 is to produce 5 The function of 4 is to produce ___
Back
Back
Functions
Below is an x-y table of a function called g.
The function of -1 is to produce 4 The function of 0 is to produce ___ The function of 1 is to produce ___
Functions
Back
Back
Below is the graph of a function called h.
x y -4 -1 0 1 4 3
The function of 0 is to produce 1 The function of -4 is to produce ____ The function of 4 is to produce ___
Functions
Back
Back
x y 0 1 5 10
Sandy has $30 in a savings account. She deposits $5 more each week. We can model this relationship by y = 30 + 5x Where x is the number of weeks and y is the amount of money in the account.
The number of weeks produces the total amount. The input/independent produces the output/dependent
Evaluating Functions
Back
Back
Consider the equations below. What would you say is the input and the output?
y = 3x + 7
m = 14 + 2h
Function Notation
Back
Write each relation in function notation.
y = 3x + 7
m = 14 + 2h
y = 3x + 7
m = 14 + 2h
The functions are named f and g.
"f of x"
"g of m"
f(x) = 3x + 7
g(m) = 14 + 2h
Back
Match each component to its description.
Back
For h(x) = 2 - 4x find h(-1).
Substitute -1 into the function for x. -1 is the new input value. What is the output when the input is -1?
Back
For f(x) = 2x - 9 find f(5).
Substitute 5 into the function for x. 5 is the new input value. What is the output when the input is 5?
Back
f(0) = _______ f(-3) = ________
YOUR TURN!
Back
h(m) = -5m - 11
+inf
YOUR TURN!
Back
+inf
Reverse!
Back
h(m) = -5m - 11
Back
Real World App
Jamie belongs to the local YMCA. The monthly membership is $30 per month. Jamie often takes classes that are an additional $5 per class. Write a function to represent the total cost (t) for one month plus the additional classes (c) Jamie takes.
+info
Real World App
Back
The function f(c) = 30 + 5c represents the total cost of one month at the gym for c number of classes.
How many classes did Jamie take if they total cost this month was $75?
What is the total cost if Jamie takes 10 classes this month?
+fo
Evaluating Functions
you should be able to...
- Write relations in functions notation - Evaluate relations in function notation - Solve in function notation
MORE!
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Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!