Algebra and Trigonometry, 5th Edition

Chapter Test

1. 1. Find the inverse of the relation

   $$\{(-2,5),(4,3),(0,-1),(-6,-3\}.$$

Determine whether the function is one-to-one. Answer yes or no.

1. 2.

   

2. 3.

   

In Exercises 4–7, given the function:

1. Sketch the graph and determine whether the function is one-to-one.

2. If it is one-to-one, find a formula for the inverse.

1. 4. $f(x)=x^3+1$

2. 5. $f(x)=1-x$

3. 6. $f(x)=\frac{x}{2-x}$

4. 7. $f(x)=x^2+x-3$

5. 8. Use composition of functions to show that $f^{{-1}^{}}$ is as given:

   $$f(x)=-4x+3,f^{-1}(x)=\frac{3-x}{4}.$$

6. 9. Find the inverse of the one-to-one function

   $$f(x)=\frac{1}{x-4}.$$

   Give the ...