Algebra 1 Functions and Function Notation Test with Point Values (PDF)

Algebra 1 math test: Functions and Function Notation – Maths PDF

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This algebra 1 functions test for Algebra 1 covers functions and function notation (Common Core F-IF.A.1, F-IF.A.2, F-IF.B.5), with a free PDF to print.

Take this 20-point, 45-minute test to measure your skill with functions and function notation (F-IF.A.1, F-IF.A.2, and F-IF.B.5). Read each question carefully, show your work, and check units and signs before you move on. If you get stuck, skip the question and return to it at the end.

Time and points

About this test

Grade: Algebra 1
Chapter: Functions and Function Notation
Standards: F-IF.A.1, F-IF.A.2, F-IF.B.5
Time: 45 minutes
Total: 20 points

Algebra 1 functions test: questions

Question 1 – Function or not [2 pts]

Decide whether each relation is a function. Explain.

$\{(0, 3), (1, 5), (2, 7), (3, 9)\}$ (1 point)
$\{(2, 1), (2, 4), (5, 6)\}$ (1 point)

Question 2 – Mapping diagram [2 pts]

Mapping for question 2.

Is the mapping a function? Give the domain and range.

Question 3 – Vertical line test [2 pts]

Graph for question 3.

Does the graph represent a function? Use the vertical line test to explain.

Question 4 – Evaluate a function [2 pts]

Let $f(x) = 2x^{2} – 3x + 1$. Find the values.

$f(-2)$ (1 point)
$f(3)$ (1 point)

Question 5 – Input and output [2 pts]

Let $f(x) = 4x – 5$.

Find $f(6)$. (1 point)
Find $x$ when $f(x) = 11$. (1 point)

Question 6 – Domain and range [2 pts]

Give the domain and range of $\{(-1, 2), (0, 5), (1, 2), (4, -3)\}$.

Question 7 – Phone plan function [3 pts]

Priya pays a $15 setup fee plus $20 each month. Her total cost is $P(m) = 20m + 15$ dollars after $m$ months.

Find $P(6)$. (1 point)
Find the number of months for which $P(m) = 215$. (1 point)
Describe a reasonable domain. (1 point)

Question 8 – Graph of a segment [3 pts]

Graph for question 8.

The graph shows a function.

Give the domain. (1 point)
Give the range. (1 point)
Find the output for the input 1. (1 point)

Question 9 – Rule from a table [2 pts]

Table for question 9.

The table shows a linear function $f$. Write a rule for $f(x)$ and use it to find $f(10)$.

Key facts behind this algebra 1 functions test

Key facts

A function assigns exactly one output to each input.
The domain is the set of inputs; the range is the set of outputs.
The vertical line test: a graph is a function if no vertical line meets it twice.
f(x) is read “f of x” and means the output when the input is x.
In context, the domain is limited to the inputs that make sense.

How to use this algebra 1 functions test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Algebra 1 chapters: Algebra 1 math.

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