Question 7 of 10Given the function F(x), you can get a picture of the graph of its inverse F -1(x) by flipping the original graph of F(x) over the line _____.

Question 9 of 10Given the graph of a function, you can perform the horizontal line test to determine whether the inverse is also a function.A.TrueB.False

If F(x) = , which of the following is the inverse of F(x)?

Graphs of an inverse function are symmetrical to its original function along the line y=x.

Question 10 of 10If a function uses variables other than x and y for its input and output variables, you take the original equation and solve for the output variable to find the inverse.

If f is a one-to-one function and f(4) = 5, f(6) = 7, and f(13) = −10, find f −1(7), f −1(5), and f −1(−10).SolutionFrom the definition of f −1 we havef −1(7)  =      because     f   =  7f −1(5)  =      because     f   =  5f −1(−10)  =      because     f   =  −10The diagrams make it clear how f −1 reverses the effect of f in this case.4613There are two sets, the set A contains 3 elements, the set B contains 3 elements, and 3 arrows connect the set A to the set B, the relation from set A to set B is labeled f.The set A contains the elements 4, 6 and 13.The set B contains the elements 5, 7 and −10.An arrow connects 4 in the set A to 5 in the set B.An arrow connects 6 in the set A to 7 in the set B.An arrow connects 13 in the set A to −10 in the set B.4613There are two sets, the set B contains 3 elements, the set A contains 3 elements, and 3 arrows connect the set B to the set A, the relation from set B to set A is labeled f −1.The set B contains the elements 5, 7 and −10.The set A contains the elements 4, 6 and 13.An arrow connects 5 in the set B to 4 in the set A.An arrow connects 7 in the set B to 6 in the set A.An arrow connects −10 in the set B to 13 in the set A.