coordinate algebra day 75 warm-ups transformations go review comparing functions notes
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Coordinate AlgebraDay 75
•Warm-Ups• Transformations GO• Review• Comparing Functions Notes
Unit 3 ReviewLearning Targets:Students can identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior.
Domain & Range
Domain:
Range:
3 4x
2 4y
Domain & Range
Domain:
Range:
Increasing or decreasing?
x
y
Domain & Range
Domain:
Range:
Increasing or decreasing?
x
4 y
Domain & Range
Domain:
Range:
Increasing or decreasing?
x
0y
Operations with Functions
Find 2f(x) + 3g(x)
Find g(x) – f(x)
Find f(-3)
2 2( ) 2 5 11 and ( ) 4 4 5f x x x g x x x
Increasing and Decreasing
Increasing:
Decreasing:
Constant:
2,3
3, 2
2,2
Comparing Functions
Learning Targets:Students can compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
Comparing Functions
You MUST write a sentence comparing the two things.
Just because you can do the math does not
mean you understand it.
Comparing is showing understanding.
Comparing Intercepts
• When you compare y-intercepts, you are comparing start points.
• Just make a note of which function starts at a higher/lower value.
• When you compare x-intercepts, you are comparing where they hit the x-axis.
Comparing Rate of Change
• When comparing two linears, you can just compare their slopes.
• When comparing two exponentials or comparing an exponential and a linear, you will have to find the rate of change for a given interval and then compare.