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Which of the following graphs shows a function and its inverse?
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A
Incorrect. The function and its inverse should reflect across the line y = x.
B
Incorrect. The function and its inverse should reflect across the line y = x.
C
Correct! The function and its inverse reflect across the line.
D
Incorrect. The function and its inverse should reflect across the line y = x.
Which of the following represent the domain and range of the inverse shown on the graph?
A. D: {x | x ≥ 1}
R: {y | y ≥ 0}
Correct! f -1 is the inverse of the function f(x).
B. D: {x | x ≤ 1}
R: {y | y ≤ 0}
Incorrect. Check the inequality signs.
C. D: {x | x ≥ 1}
R: {y | y ≥ 1}
Incorrect. Include all the domain x-values and all the range y-values.
D. D: {x | x ≤ 0}
R: {y | y ≤ 1}
Incorrect. Check the inequality signs.
Which of the following is the inverse of f(x) = √x + 6?
A.
y = x2 6
Incorrect. Isolate y after squaring the terms by subtracting 6.
B. y = x − 6
Incorrect. First square both sides of the equation.
C. y = x2 + 6
Incorrect. Subtract 6 from both sides of the equation.
D. y = x2 − 6
Correct!
Which of the following tables shows the inverse of the function below?
A
Incorrect. The tables are the same.
B
Correct! The x- and y-values have been reversed.
C
Incorrect. The signs of all the values have been changed.
D
Incorrect. The signs of the y-values have been changed.