This resource, for Algebra through Pre-Calculus, covers evaluating functions with expressions, simplifying polynomials, and difference quotient. The 10 practice problems are scaffolded by starting with evaluating f(4x-2) and ending with evaluating a difference quotient, an important skill in Calculus. The solution key is included in this 4 page PDF resource.

This practice includes:

• g(x+4)
• f(x+h)
• Difference Quotient: (f(x+h)-f(x))/h
• Linear functions
• Quadratic functions

I created this resource for students when I realized they had a lot of difficulty understanding how to evaluate functions when the input was an expression instead of a numeric value. This is a great way to introduce limit definition of the derivative before teaching the topic as the practice includes multiple examples with the difference quotient.

What You Get: 

• 2 Pages of Student Handouts: 10 questions
• Answer Key: Fully worked solutions for all problems included

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Evaluating Functions With Expressions/Difference Quotient Notes - Video Lesson

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