# Precalculus 1.4-1.7 Test Outline

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1.4 Shifting, Reflecting, and Stretching Graphs

• Know and recognize the six commonest parent functions.
• Know how to modify a function by changing inputs and outputs to:
• shift it horizontally or vertically
• reflect it around the x-axis or y-axis
• stretch or shrink vertically or horizontally
• Recognize modifications to parent functions and write their equations.

1.5 Combinations of Functions

• Add, subtract, multiply, divide, and compose functions.
• notation
• how to find the rules
• evaluating
• Is composition commutative? If it is, when?

1.6 Inverse functions

• Be able to explain what an inverse function does.
• Verifying inverses algebraically and graphically.
• Testing if an inverse function exisits.
• Find inverse functions algebraically.

1.7 Linear Models and Scatter Plots

• Identify correlations as positive, negative, or neither.
• Understand what "least squares regression" means.
• Fit lines to data with your calculator, finding the correlation coefficient.
• Make predictions from the fitted line.