Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones

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      (B)

      (C)

      (D)

      (E)

      22. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse.

      (A)

      (B)

      (C)

      (D)

      (E)

      23. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse.

      (A)

      (B)

      (C)

      (D)

(E)

Find Inverses Algebraically

       24–29 Find the inverse of the one-to-one function algebraically.

      24.

      25.

      26.

      27.

      28.

      29.

The Domain and Range of a Function and Its Inverse

       30–32 Solve the given question related to a function and its inverse.

      30. The set of points

is on the graph of f(x), which is a one-to-one function. Which points belong to the graph of

?

      31. f(x) is a one-to-one function with domain

and range

. What are the domain and range of

?

      32. Suppose that f(x) is a one-to-one function. What is an expression for the inverse of

?

Linear Equations

       33–37 Solve the given linear equation.

      33.

34.

      35.

      36.

      37.

Quadratic Equations

       38–43 Solve the quadratic equation.

      38. Solve

.

      39. Solve

by completing the square.

      40. Solve

by completing the square.

      41. Solve

.

      42. Solve

.

      43. Solve

.

Solving Polynomial Equations by Factoring

       44–47 Solve the polynomial equation by factoring.

      44.

      45.

      46.

47.

Absolute Value Equations

       48–51 Solve the given absolute value equation.

      48.

      49.

      50.

      51.

Solving Rational Equations