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Back to Tutor Intake Assessment: Use function notation

HSF.IF.A.2 Tutor Intake -- Evaluate and Interpret Function Notation

This short check helps your tutor understand where to start. Answer each
question on your own. If you are not sure, give your best try — every
response helps your tutor plan your sessions.

Grade 9·13 problems·~15 min·Common Core Math - HS Functions·group·hsf-if-a-2
Work through problems with immediate feedback
A

Concepts

1

A city pool opens each morning. Let S(t)S(t) represent the number of swimmers
in the pool tt hours after opening.

Which statement correctly interprets S(4)=72S(4) = 72?

2

The cost in dollars to produce nn items is C(n)C(n).

Complete the function notation statement for "the cost to produce 50 items
is $340":

C(C(   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   )=) =   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  

input value:
output value:
3

Let f(x)=x2f(x) = x^2.

Compute f(2)+f(3)f(2) + f(3) and f(2+3)f(2 + 3). Which statement is true?

4

Let g(x)=x2−1g(x) = x^2 - 1. Suppose g(a)=g(−a)g(a) = g(-a) for some value aa.

What does this tell you?

B

Procedures

1

Let f(x)=x2−3x+2f(x) = x^2 - 3x + 2.

What is f(−1)f(-1)?

2

Let f(x)=3x−5f(x) = 3x - 5.

What is f(4)f(4)?

3

Let f(x)=2x+1f(x) = 2x + 1.

Which expression equals f(a+3)f(a + 3)?

4

Let f(x)=4x−8f(x) = 4x - 8.

Solve f(x)=12f(x) = 12. What is xx?

5

Let g(x)=x2−1g(x) = x^2 - 1.

A student is asked to solve g(x)=3g(x) = 3 and writes: "Since g(x)=3g(x) = 3,
I compute g(3)=9−1=8g(3) = 9 - 1 = 8, so the answer is 8."

What error did the student make?

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