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Back to Use function notation — Problem 4 · Task Set 4

Exercises: Use Function Notation

Show your substitution steps for each evaluation problem. Express simplified answers unless otherwise directed.

Grade 9·23 problems·~30 min·Common Core Math - HS Functions·group·hsf-if-a-2
Work through problems with immediate feedback
A

Fluency Practice

Evaluate each function as directed. Show your substitution steps.

Table showing four substitution steps for f(x) = 2x + 3 with inputs 4, a, a+1, and x+h
1.

Let f(x)=2x+3f(x) = 2x + 3. Complete the table by filling in each output.

InputNotationOutput
x=4x = 4f(4)f(4)  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  
x=ax = af(a)f(a)  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  
x=a+1x = a+1f(a+1)f(a+1)  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  
x=x+hx = x+hf(x+h)f(x+h)  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  
f(4):
f(a):
f(a+1):
f(x+h):