{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

6.3 Exponential FunctionsKEY

6.3 Exponential FunctionsKEY - 6-3 Exponential Functions...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
6-3: Exponential Functions Exponential function is a function in the form f(x) = a x where a is a positive real number and a 1. The domain of f is the set of all real numbers. The laws of exponents for real (irrational) exponents are the same as those for integer and rational exponents. Irrational exponents are truncated to a finite number of digits, so that a r a x . The number e is the number that 1 1 + F H G I K J n n approaches as n →∞ . f(x) = a x Range x-intercept y-intercept Horizontal asymptote Charac- teristic Passes through a > 1 (0, ) None (0, 1) x-axis as x - Increasing, one-to-one (0, 1) (1, a) 0 < a < 1 (0, ) None (0, 1) x-axis as x →∞ Decreasing one-to-one (0, 1) (1, a) Approximate to three decimal places:
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}