a Function’s Infinite Limit
441–450 Find the indicated limit.
441.
442.
443.
444.
445.
446.
447.
448.
449.
450.
Writing Equations of Asymptotes
451–460 Identify all vertical and horizontal asymptotes of the rational function.
451.
452.
453.
454.
455.
456.
457.
458.
459.
460.
Adding Oblique Asymptotes to the Mix
461–465 Identify all vertical and oblique asymptotes.
461.
462.
463.
464.
465.
Sketching the Graphs of Rational Functions
466–480 Sketch the graph of the rational function, indicating all intercepts and asymptotes.
466.
467.
468.
469.
470.
471.
472.
473.
474.
475.
476.
477.
478.
479.
480.
Chapter 9
Exponential and Logarithmic Functions
Exponential functions are inverses of logarithmic functions — and vice versa. Working with exponential and logarithmic functions requires facility with the correspondence and interrelationship between them. The base of an exponential function must be positive; many mathematicians also exclude the number 1 from being a base. A logarithmic function can have any positive base except the number 1, and the argument (input value) of a logarithmic function must also be positive.
The Problems You’ll Work On
In this chapter, you’ll work with exponential and logarithmic functions in the following ways:
Evaluating
