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WorksheetsMath 8 (Module 5) Exploring Functions and Their Properties
Total questions: 15
Worksheet time: 8mins
What is a function?
A function is a random assignment of outputs to inputs.
A function is a type of variable in programming.
A function is a collection of unrelated values.
A function is a relation that assigns exactly one output to each input.
Identify the function from the table: x | y 1 | 2 2 | 4 3 | 6
y = 2x
y = x + 1
y = x^2
y = 3x
Construct a linear function from the points (1, 2) and (3, 6).
y = 2x
y = 3x - 1
y = 4x - 2
y = x + 2
What is the slope of the function y = 3x + 1?
3
0
-3
1
Compare the functions f(x) = 2x + 3 and g(x) = 3x + 1. Which has a greater slope?
f(x) has a greater slope.
Both functions have the same slope.
g(x) has a lesser slope.
g(x) has a greater slope.
If f(x) = x + 5, what is f(10)?
20
10
15
5
Create a function table for the function f(x) = 2x - 1 for x = 0, 1, 2, 3.
Function table: x: 0, f(x): -2; x: 1, f(x): 0; x: 2, f(x): 2; x: 3, f(x): 4.
Function table: x: 0, f(x): -1; x: 1, f(x): 1; x: 2, f(x): 3; x: 3, f(x): 5.
Function table: x: 0, f(x): 0; x: 1, f(x): 2; x: 2, f(x): 4; x: 3, f(x): 6.
Function table: x: 0, f(x): -1; x: 1, f(x): 3; x: 2, f(x): 5; x: 3, f(x): 7.
What is the y-intercept of the function y = -4x + 7?
7.5
0
-4
7
Identify the domain of the function f(x) = 1/(x - 2).
All real numbers
x = 2 only
x < 2
All real numbers except x = 2
How do you determine if a relation is a function?
A relation is a function if each input is related to exactly one output.
A relation is a function if it is represented graphically as a straight line.
A relation is a function if it includes at least one output for every input.
A relation is a function if it has multiple outputs for the same input.
Construct a linear function that passes through the origin and has a slope of 2.
y = x + 2
y = 2x
y = 2x + 1
y = 3x
If f(x) = 5x - 3, what is f(-1)?
0
2
-5
-8
Compare the functions h(x) = x^2 and k(x) = 2x. Which function grows faster as x increases?
h(x) = x^2 and k(x) = 2x do not grow as x increases.
Both functions grow at the same rate as x increases.
k(x) = 2x grows faster than h(x) = x^2 as x increases.
h(x) = x^2 grows faster than k(x) = 2x as x increases.
What is the range of the function f(x) = 3x + 2?
All real numbers
Only negative numbers
Only positive numbers
Integers between 1 and 10
Identify the function represented by the table: x | y 0 | 1 1 | 3 2 | 5.
y = 2x - 1
y = 3x + 1
y = 2x + 1
y = x + 1
