1. Coordinate Algebra Day 75
Warm-Ups
Transformations GO
Review
Comparing Functions Notes

2. Unit 3 Review
Learning 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.

3. Domain & Range
Domain:
Range:

4. Domain & Range
Domain:
Range:
Increasing or decreasing?

5. Domain & Range
Domain:
Range:
Increasing or decreasing?

6. Domain & Range
Domain:
Range:
Increasing or decreasing?

7. Operations with Functions
Find 2f(x) + 3g(x)
Find g(x) – f(x)
Find f(-3)

8. Increasing and Decreasing
Constant:

9. 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.

10. 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.

11. 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.

12. 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.