topic badge

Topic Review: Functions and relations

Adaptive
Worksheet

Interactive practice questions

Mohamad knows that he is older than his sister Joanne. The following table shows his sister's age compared to his age.

Mohamad's age Joanne's age
$10$10 $3$3
$11$11 $4$4
$15$15 $8$8
$20$20 $13$13
$30$30 $23$23
  • When Mohamad was $10$10 years old, Joanne was $\editable{}$ years old
  • When Mohamad is $45$45 years old, Joanne will be $\editable{}$ years old.
Easy
< 1min

A catering company uses the following table to work out how many sandwiches are required to feed a certain number of people.

Fill in the blanks:

Easy
< 1min

Consider the following Input/Output table and then fill in the blanks:

Medium
< 1min

Express the relation $\left\{\left(3,8\right),\left(5,4\right),\left(7,2\right),\left(8,6\right)\right\}${(3,8),(5,4),(7,2),(8,6)} in the table below.

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

8.F.A.1

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output

8.F.A.2

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

8.F.A.3

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g. Where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

What is Mathspace

About Mathspace