Inverse Function Graphs Worksheets Grade 12

1. Mere analyzes the graph of function f. The graph shows f(14) = 22. What is f⁻¹(22)?
2. Kaia is studying the graph of a function f(x) that passes through the points (1, 3), (3, 7), (5, 11), (7, 15), and (9, 19). She needs to determine the value of the inverse function f⁻¹(15). What is f⁻¹(15)?
3. Kaia analyzes the graph of function f. The graph shows f(9) = 17 and f(13) = 21. What is f⁻¹(17)?

…and 6 more problems

1. The graph of function f shows f(4) = 8. Find f⁻¹(8).
2. Noah is analyzing the graph of a function f(x) that models the altitude (in hundreds of meters) of a drone over time (in minutes) during a flight. The graph of f passes through the point (12, 20). Noah needs to determine the time at which the drone reaches an altitude of 20 hundred meters, but he realizes that the inverse function f⁻¹ would give him this information directly. What is the value of f⁻¹(20) based on the given point on the graph of f?
3. A function f(x) is graphed on a coordinate plane. The graph passes through points (-2, 1), (0, 3), and (2, 5), forming a straight line. The inverse function f⁻¹(x) is also graphed. What is the value of f⁻¹(3)?

…and 5 more problems

1. The graph of function f shows f(12)=15. What is f⁻¹(15)?
2. Mason is analyzing the graph of a function f(x) in his calculus class. The graph of f passes through the points (2, 7), (7, 12), (12, 17), and (17, 22). If f is one-to-one and invertible, what is the value of f⁻¹(17)?
3. Emma is studying the graph of a function f defined on the interval [-10, 10]. The graph of f is a straight line that passes through the points (-10, -20), (-5, -10), (0, 0), (5, 10), and (10, 20). Using this graph, Emma wants to find the value of f^{-1}(15). What is f^{-1}(15)?

…and 5 more problems