a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At what angle do the lines intersect? b. Find the inverse of ƒ(x) = -x + b (b constant). What angle does the line y = -x + b make with the line y = x? c. What can you conclude about the inverses of functions whose graphs are lines perpendicular to the line y = x?
Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At what angle do the lines intersect?
b. Find the inverse of ƒ(x) = -x + b (b constant). What angle does the line y = -x + b make with the line y = x?
c. What can you conclude about the inverses of functions whose graphs are lines perpendicular to the line y = x?
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 6 images
