Basic Algebra Functions
This is a quiz to improve recognition of basic algebra functions and their graphs. The easier you can recognize how functions look the easier it is to think about domain and range.
- 1.
A basic linear function has a single variable (x). Match the function f(x) = x with it's graph. It's Domain (x values) is (-infinity, +infinity)It's Range (y values) is (-infinity, +infinity)Hint: Think y=x A. B.C.
- A.
The graph of the function is picture A.
- B.
The graph of the function is picture B.
- C.
The graph of the function is picture C.
- D.
None of the above
Correct Answer
A. The graph of the function is picture A.Explanation
This graph is easily seen as the same as y=x where the slope of the line is positive 1.Rate this question:
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- 2.
A basic quadratic function has a variable (x) with an exponent of 2. Match the function with it's graph. It's Domain (x values) is (-infinity, +infinity)It's Range (y values) is [0, +infinity)A.B.C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
C. The matching graph is picture C.Explanation
x squared is an even function. It should look as though it is a mirror image on both sides of the y-axis.Rate this question:
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- 3.
A basic Cubic function has a variable (x) with an exponent of 3. Match the function with it's graph.It's Domain (x-values) is (-infinity, +infinity)It's Range (y-values) is (-infinity, +infinity)A.B.C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
B. The matching graph is picture B. -
- 4.
A basic Square Root Function has a variable (x) with an exponent of 1/2 or a square root sign. Match the function with it's graph.It's Domain (x values) is [0, +infinity)It's Range (y values) is [0, + infinity)A.B.C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
C. The matching graph is picture C. -
- 5.
A basic Cube Root Function has a variable (x) with an exponent of 1/3 or a cube root sign. Match the function with it's graph.It's Domain (x values) is (-infinity, +infinity)It's Range (y values) is (-infinity, + infinity)A.B.C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
C. The matching graph is picture C. -
- 6.
A basic Absolute Value Function has a variable surrounded by | | and the value of what is inside those bars is always positive.Match the function f(x) = |x| with it's graph.It's Domain (x values) is (-infinity, +infinity)It's Range (y values) is [0, +infinity)A.B.C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
A. The matching graph is picture A. -
- 7.
If a negative sign in front of a function flips the function over the x axis, which picture matches the function...f(x)= - |x|A.B. C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
C. The matching graph is picture C. -
- 8.
If a negative sign in front of a function flips the function over the x axis, which picture is the negative function of this graphed function?A.B. C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
B. The matching graph is picture B. -
- 9.
If a negative sign in front of a function flips the function over the x axis, which picture is the negative function of this graphed function?A.B. C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
A. The matching graph is picture A. -
- 10.
If a negative sign in front of a function flips the function over the x axis, which picture is the negative function of this graphed function?A.B. C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
C. The matching graph is picture C. -
- 11.
If a negative sign in front of a function flips the function over the x axis, which picture is the negative function of this graphed function?A.B. C.
- A.
The matching graph is picture A.
- B.
The matching graph is picture B.
- C.
The matching graph is picture C.
- D.
None of the above
Correct Answer
A. The matching graph is picture A. -
- 12.
Which of these groups of graphs have correct phrases for each graph?A. f of x equals cube root x, f of x equals negative absolute value of x, and f of x equals negative cube root x.B.f of x equals x squared, f of x equals cube root x, and f of x equals square root xC.f of x equals absolute value of x, f of x equals x cubed, and f of x equals x
- A.
Group A is correct
- B.
Group B is correct
- C.
Group C is correct
- D.
None of the above
Correct Answer
A. Group A is correct -
- 13.
The name of this graphed function is?
- A.
F of x equals cube root x
- B.
F of x equals negative x cubed
- C.
F of x equals negative x squared
- D.
F of x equals the absolute value of x
Correct Answer
B. F of x equals negative x cubed -
- 14.
REVIEW QUESTIONIf the Point-Slope Form of a function is f(x) = mx + b where m is the slope of the line and b is where the graph intersects the y-axis, what is the slope (rise over run) of this function?f(x) = xHint: Think y = x + 0 If b=0 what is m?
- A.
The slope of the function is 2/1
- B.
The slope of the function is 1/1
- C.
The slope of the function is 0
Correct Answer
B. The slope of the function is 1/1 -
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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
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Mar 21, 2022Quiz Edited by
ProProfs Editorial Team -
Feb 28, 2009Quiz Created by
Butterfryby
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