Back to Tutor Intake Assessment: Understand function definition

HSF.IF.A.1 Tutor Intake — Function Definition, Notation, and Domain/Range

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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-if-a-1
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A

Concepts

1.

Which of the following relationships is a function?

2.

A table shows: f(1)=3, f(2)=7, f(3)=3, f(4)=11f(1) = 3,\ f(2) = 7,\ f(3) = 3,\ f(4) = 11.
Which statement correctly describes the domain and range of this function?

3.

Given f(x)=5x1f(x) = 5x - 1, find the value of f(4)f(4).

B

Procedures

1.

Let f(x)=3x2f(x) = 3x - 2. Find the value of f(5)f(5).

2.

Let g(t)=t2+1g(t) = t^2 + 1. Find the value of g(3)g(-3).

3.

Let f(x)=2x1f(x) = 2x - 1. Which of the following equals f(4)f(4)?

4.

A function hh is defined by the table below.

xxh(x)h(x)
04
17
24
310

What is the range of hh?

5.

What is the domain of the function f(x)=1x3f(x) = \dfrac{1}{x - 3}?

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