Basic Concepts of Functions and Graphs Quiz

Check your grasp on basic concepts with this quiz. Define functions, identify graphs, and solve domain and range problems.

#1

What is the definition of a function in mathematics?

A relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
A relation between a set of inputs and a set of possible outputs where each input may be related to multiple outputs.
A relation between a set of inputs and a set of possible outputs where each output is related to exactly one input.
A relation between a set of inputs and a set of possible outputs where each output may be related to multiple inputs.
#2

What is the notation used to denote a function?

f(x)
y = mx + c
x^2 + y^2 = r^2
y = a(x - h)^2 + k
1 answered
#3

Which of the following is the parent function of all quadratic functions?

f(x) = x^2
f(x) = x
f(x) = sqrt(x)
f(x) = 1/x
1 answered
#4

What is the leading coefficient of the polynomial function f(x) = 3x^4 - 2x^3 + x - 1?

3
-2
1
-1
#5

What is the definition of the domain of a function?

The set of all possible outputs of the function.
The set of all possible inputs of the function.
The set of all real numbers.
The set of all integers.
#6

Which of the following graphs represents a linear function?

Parabola
Circle
Straight line
Sine curve
1 answered
#7

What is the range of the function f(x) = x^2?

All real numbers
Positive real numbers
Negative real numbers
Non-negative real numbers
#8

What is the domain of the function f(x) = sqrt(x)?

All real numbers
Non-negative real numbers
Positive real numbers
Negative real numbers
#9

Which of the following functions is odd?

f(x) = x^2
f(x) = sin(x)
f(x) = e^x
f(x) = cos(x)
#10

What is the maximum number of turning points a cubic function can have?

0
1
2
3
#11

What is the period of the function f(x) = sin(2x)?

π
π/2
#12

Which of the following graphs represents an exponential function?

Line parallel to the y-axis
Line parallel to the x-axis
Parabola
Curve increasing rapidly
#13

Which of the following graphs represents a cubic function?

Parabola
Sine curve
Straight line
Curve with two turning points
#14

What is the period of the function f(x) = cos(x)?

π
π/2

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