Function Notation

Learn and apply function notation using equations, examples, and interpretation.

Lesson 3 of 53 parts Practice Flashcards

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Evaluating f(x)

Objective: Explain and use evaluating f(x) in an Algebra 1 problem.

The notation f(c) means the output of function f at input c, not f multiplied by c. No, it names the output at input 3.

Worked examples

Try itExample 1.1: For f(x)=3x+16, find f(5).Show answer

31. Replace x with 5 in the stated function. The answer is 31.

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Evaluating f(x)

Objective: Explain and use evaluating f(x) in an Algebra 1 problem.

The notation f(c) means the output of function f at input c, not f multiplied by c. No, it names the output at input 3.

Worked examples

Try itExample 1.1: For f(x)=3x+16, find f(5).Show answer

31. Replace x with 5 in the stated function. The answer is 31.

Solving f(x)=k

Objective: Explain and use solving f(x)=k in an Algebra 1 problem.

Finding inputs that produce a given output means solving the equation f(x)=k within the function domain. Algebraic candidates may not be allowed inputs.

Worked examples

Try itExample 2.1: Solve 4x+26=58.Show answer

8. Subtract 26 from both sides, then divide by 4. The answer is 8.

Function Composition

Objective: Explain and use function composition in an Algebra 1 problem.

In f(g(x)), compute g(x) first and use that result as the input to f; order generally matters. No, the two orders can differ.

Worked examples

Try itExample 3.1: For f(x)=2x+36, find f(11).Show answer

58. Replace x with 11 in the stated function. The answer is 58.

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