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Questions and Answers
Is the set of points {(5,3), (-2, 3), (6, 4), (1,1)} a function?
Is the set of points {(5,3), (-2, 3), (6, 4), (1,1)} a function?
- No, because 3 is repeated in the y-values.
- Yes, because all x-values are unique. (correct)
- No, because there is a point with duplicate coordinates.
- Yes, because it passes the vertical line test.
What is the domain of the points {(3,-4), (2, 9), (3, -1), (1,5)}?
What is the domain of the points {(3,-4), (2, 9), (3, -1), (1,5)}?
- {3, 2, 1, -4}
- {1, 2, 3, 4}
- {3, 2, 1}
- {1, 2, 3} (correct)
What is the range of the given set of points {(5,3), (-2, 3), (6, 4), (1,1)}?
What is the range of the given set of points {(5,3), (-2, 3), (6, 4), (1,1)}?
- {3, 4, 1}
- {0, 1, 3, 4}
- {1, 3, 4} (correct)
- {1, 3}
Does the graph of a circle centered at the origin represent a function?
Does the graph of a circle centered at the origin represent a function?
What are the intercepts of a straight line graph?
What are the intercepts of a straight line graph?
Evaluate f(6) for the function f(x) = 5x - 20.
Evaluate f(6) for the function f(x) = 5x - 20.
Calculate g(-3) for g(x) = x² + 5x - 11.
Calculate g(-3) for g(x) = x² + 5x - 11.
What is the value of h(-8) if h(x) = |2x + 7|?
What is the value of h(-8) if h(x) = |2x + 7|?
Find the value of f(-1) + g(2) using f(x) = 3x - 5 and g(x) = 5 - x².
Find the value of f(-1) + g(2) using f(x) = 3x - 5 and g(x) = 5 - x².
Determine f(x) when f(x) = 6.
Determine f(x) when f(x) = 6.
Flashcards
Is {(5,3), (-2, 3), (6, 4), (1,1)} a function?
Is {(5,3), (-2, 3), (6, 4), (1,1)} a function?
A relation is a function if each input (x-value) corresponds to exactly one output (y-value).
Domain of {(5,3), (-2, 3), (6, 4), (1,1)}
Domain of {(5,3), (-2, 3), (6, 4), (1,1)}
The set of all possible input values (x-coordinates).
Range of {(5,3), (-2, 3), (6, 4), (1,1)}
Range of {(5,3), (-2, 3), (6, 4), (1,1)}
The set of all possible output values (y-coordinates).
Is a circle a function?
Is a circle a function?
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Is a straight line a function?
Is a straight line a function?
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f(6)
f(6)
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g(-3)
g(-3)
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h(-8)
h(-8)
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Evaluate f(-1) + g(2)
Evaluate f(-1) + g(2)
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Solve for x when f(x) = 6
Solve for x when f(x) = 6
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Study Notes
Problem 7
- The set of ordered pairs is {(5,3), (-2, 3), (6, 4), (1,1)}
- Is this a function? Yes, each input has only one output.
- What is the domain? {5, -2, 6, 1}
- What is the range? {3, 4, 1}
- What are the intercepts? None
Problem 8
- The set of ordered pairs is {(3,-4), (2, 9), (3, -1), (1,5)}
- Is this a function? No, the input 3 has two outputs (-4 and -1).
- What is the domain? {3, 2, 1}
- What is the range? {-4, 9, -1, 5}
- What are the intercepts? None
Problem 9
- Is this a function? No, it is a circle and hence fails the vertical line test.
- What is the domain? All real numbers from -5 to +5
- What is the range? All real numbers from -5 to +5
- What are the intercepts? (0, 0)
Problem 10
- Is this a function? Yes, the graph passes the vertical line test.
- What is the domain? All real numbers
- What is the range? All real numbers greater than or equal to -2
- What are the intercepts? (0, -1)
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