Analyzing Functions and Graphs Quiz
Test your knowledge on functions, graphs, derivatives, and more. Explore concepts in graph theory with these questions.
#1
Which of the following is the graph of a quadratic function?
Line
Parabola
Circle
Hyperbola
#2
What is the domain of the function f(x) = √(x - 3)?
All real numbers
x ≥ 3
x < 3
x ≤ 3
#3
Which of the following represents an exponential function?
f(x) = x^2
f(x) = e^x
f(x) = 1/x
f(x) = √x
#4
Which of the following represents a logarithmic function?
f(x) = x^2
f(x) = log(x)
f(x) = e^x
f(x) = √x
#5
Which of the following is the correct definition of a function?
A relation that assigns exactly one output to each input
A relation that assigns more than one output to each input
A relation that assigns no output to each input
A relation that assigns no input to each output
#6
Which of the following is the correct interpretation of the derivative of a function?
Rate of change
Instantaneous rate of change
Total change
Average rate of change
#7
What is the vertex of the function f(x) = 2x^2 + 4x - 3?
(-1, -5)
(-2, 5)
(-2, -7)
(-1, 5)
#8
What is the range of the function f(x) = sin(x)?
[-1, 1]
(-∞, ∞)
[-π/2, π/2]
All real numbers
#9
What is the asymptote of the function f(x) = 1/x?
#10
What is the period of the function f(x) = cos(2x)?
#11
Which of the following functions is odd?
f(x) = x^3 - x
f(x) = x^2 + x
f(x) = x^4
f(x) = x^3 + 1
#12
Which of the following functions is even?
f(x) = x^4 - 2x^2
f(x) = x^3 - x
f(x) = x^2 - 3x + 2
f(x) = x^5 + 3x^3
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