Common Core HSF.BF.B.4.C worksheet
High school · 16 questions · Common Core: HSF.BF.B.4.C · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
The point (−7, 7) is on the graph of y = f(x). Which point must be on the graph of y = f⁻¹(x)? Type it like (2, −1).
Answer
Question 2
The graph of y = f(x) passes through (−5, 3). Which transformation maps it onto the graph of y = f⁻¹(x)?
- A. Reflection in the y-axis
- B. Reflection in the x-axis
- C. Reflection in the line y = x
- D. Rotation of 180° about the origin
Question 3
f(x) = x³ + 4. Find f⁻¹(31).
Answer
Question 4
The point (−4, 6) is on the graph of y = f(x). Which point must be on the graph of y = f⁻¹(x)? Type it like (2, −1).
Answer
Question 5
The graph of y = f(x) passes through (4, 1). Which transformation maps it onto the graph of y = f⁻¹(x)?
- A. Reflection in the y-axis
- B. Reflection in the x-axis
- C. Reflection in the line y = −x
- D. Reflection in the line y = x
Question 6
f(x) = x³ − 2. Find f⁻¹(62).
Answer
Question 7
The point (1, −2) is on the graph of y = f(x). Which point must be on the graph of y = f⁻¹(x)? Type it like (2, −1).
Answer
Question 8
The graph of y = f(x) passes through (1, 5). Which transformation maps it onto the graph of y = f⁻¹(x)?
- A. Reflection in the line y = x
- B. Reflection in the x-axis
- C. Reflection in the line y = −x
- D. Reflection in the y-axis
Question 9
f(x) = x³ + 3. Find f⁻¹(2).
Answer
Question 10
The point (−7, −2) is on the graph of y = f(x). Which point must be on the graph of y = f⁻¹(x)? Type it like (2, −1).
Answer
Question 11
The graph of y = f(x) passes through (−6, −2). Which transformation maps it onto the graph of y = f⁻¹(x)?
- A. Reflection in the x-axis
- B. Rotation of 180° about the origin
- C. Reflection in the line y = x
- D. Reflection in the y-axis
Question 12
f(x) = x³ + 8. Find f⁻¹(35).
Answer
Question 13
The point (−4, −1) is on the graph of y = f(x). Which point must be on the graph of y = f⁻¹(x)? Type it like (2, −1).
Answer
Question 14
The graph of y = f(x) passes through (−5, 0). Which transformation maps it onto the graph of y = f⁻¹(x)?
- A. Reflection in the line y = x
- B. Reflection in the y-axis
- C. Reflection in the x-axis
- D. Reflection in the line y = −x
Question 15
f(x) = x³ + 9. Find f⁻¹(17).
Answer
Question 16
The point (8, −8) is on the graph of y = f(x). Which point must be on the graph of y = f⁻¹(x)? Type it like (2, −1).
Answer
All done? Color in the animal! · Free from eurekami.com/math