Accuplacer Functions and Function Notation — practice questions

Explore 2 free Functions and Function Notation questions in Accuplacer Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Functions and Function Notation with Quill →

Functions and Function Notation questions and exercises with answers

Showing questions 1–2 of 2.

What makes a relation a function?Read the answer and worked solution →A vertical line cuts a graph at two points. What does the vertical line test say?Read the answer and worked solution →

Worked practice questions

What makes a relation a function?

Each output gives one input
Each input is a whole number
Each output is a whole number
Each input gives one output

Show answer and solution

Correct answer: D. Each input gives one output

1. A relation is any set of ordered pairs, with inputs first and outputs second. 2. It counts as a function when every possible input leads to exactly one output value. 3. If a single input were paired with two different outputs, the relation would fail the test. _Source: OpenStax College Algebra (CC BY 4.0), section 3.1 Functions and Function Notation_

Open this question →

A vertical line cuts a graph at two points. What does the vertical line test say?

The graph is not a function
The graph is not one to one
The graph has no y-intercept
The graph has no real domain

Show answer and solution

Correct answer: A. The graph is not a function

1. A vertical line collects every point of the graph that shares one input value. 2. Two points on that line means one input has produced two different outputs. 3. A function allows only one output per input, so the graph does not define a function. _Source: OpenStax College Algebra (CC BY 4.0), section 3.1 Functions and Function Notation_