Ten multiple-choice questions check whether you can recognize functions, evaluate function notation, read graphs and describe domain and range. Choose the single best answer, then read the explanation to learn from any miss.
Algebra 1Common Core: F-IF.A.1 · F-IF.A.2 · F-IF.B.5
🎯 Functions, Domain, Range and Function Notation – Algebra 1 math quiz
Question 1
Which relation is a function?
A
\(\{(3,1),(3,2),(4,6)\}\)
B
\(\{(0,5),(1,5),(2,5)\}\)
C
\(\{(2,7),(5,1),(2,9)\}\)
D
\(\{(1,1),(4,2),(1,3)\}\)
Question 2
Is the mapping a function?Arrows from inputs to outputs.
A
No, because the input 2 has two outputs, 6 and 9
B
Yes, because every input has at least one output
C
No, because the output 9 is used two times
D
Yes, because the outputs 4, 6 and 9 are different
Question 3
If \(f(x)=4x-7\), what is \(f(-3)\)?
A
\(-5\)
B
\(5\)
C
\(-10\)
D
\(-19\)
Question 4
If \(g(x)=x^{2}-5x\), what is \(g(-2)\)?
A
\(6\)
B
\(14\)
C
\(-14\)
D
\(-6\)
Question 5
Use the graph of \(f(x)=x^{2}-2x-3\). What is \(f(2)\)?The graph of \(f(x)=x^{2}-2x-3\).
A
\(2\)
B
\(-4\)
C
\(3\)
D
\(-3\)
Question 6
If \(f(x)=2x+1\) and \(f(a)=15\), what is \(a\)?
A
\(7\)
B
\(31\)
C
\(14\)
D
\(8\)
Question 7
\(H(d)\) is the height in inches of a plant \(d\) days after planting. What does \(H(10)=18\) mean?
A
Eighteen days after planting, the plant is 10 inches tall
B
The plant gains 10 inches every 18 days
C
Ten days after planting, the plant is 18 inches tall
D
The plant was 18 inches tall on the day it was planted
Question 8
What are the domain and range of the function graphed?A line segment with closed endpoints.
A
Domain \(-2\le x\le 4\); range \(-3\le y\le 5\)
B
Domain \(-3 < x < 5\); range \(-2 < y < 4\)
C
Domain \(-3\le x\le 5\); range \(-2\le y\le 4\)
D
All real numbers; range \(-2\le y\le 4\)
Question 9
A school store sells pencils for \(\$0.25\) each, and a student can buy 1 to 8 pencils. What is the range of the cost function \(C(n)=0.25n\)?
A
Every amount from $0.25 to $2.00
B
$0.25, $0.50, $0.75, $1.00, $1.25, $1.50, $1.75, $2.00
C
1, 2, 3, 4, 5, 6, 7, 8
D
Every amount from $0 to $2.00
Question 10
A vertical line crosses a graph at two points, as shown. What does this tell you?A vertical line meets this graph twice.
A
The graph is not a function, because one \(x\)-value has two outputs
B
The graph is a function with two outputs
C
The graph is a function, because each \(y\)-value is used once
D
The graph is not a function, because it is curved
🎉 Quiz complete!
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Remember:
- Every input of a function has exactly one output; two inputs may share an output.
- A graph is a function if no vertical line crosses it twice.
- f(a) = b means the output is b when the input is a.
- Domain is the set of inputs; range is the set of outputs.
- Discrete data has separate values; continuous data fills an interval.
See every chapter on the Algebra 1 math page.