GRAPHING EXPONENTIAL FUNCTIONS

Question 1

A function of the form: f(x) = Ab^x

Where:
A= value of f(x) when t = 0 is f(0) = A; A ≠0
b= base of the fxn. ; b>0 , b ≠1

Answer 1

EXPONENTIAL FUNCTION

Question 2

When the FUNCTION DECREASES AS X INCREASES moving from left to right in the graph, and the domain = set of real numbers, what is the value of the base?

Answer 2

LESS THAN 1 BUT GREATER THAN 0

Question 3

When the HORIZONTAL ASYMPTOTE is y=0, and the values get closer to 0 as x approaches -∞, what is the value of the base?

Answer 3

CAN BE: LESS THAN 1 BUT GREATER THAN 0 OR GREATER THAN 1

Question 4

When the GRAPH LIES ABOVE THE X-AXIS (meaning values are always positive) and the range = (0, ∞), what is the value of the base?

Answer 4

CAN BE: LESS THAN 1 BUT GREATER THAN 0 OR GREATER THAN 1

Question 5

When the FUNCTION INCREASES AS X INCREASES RAPIDLY for +X when moving from left to right in the graph, and the domain = set of real numbers, what is the value of the base?

Answer 5

GREATER THAN 1

Question 7

Rules of Exponents: DISTRIBUTION

(a/b)^m= a^m/ b^m

Answer 7

POWER OF A QUOTIENT

Question 8

Rules of Exponents: DISTRIBUTION

(ab)^m= a_mb_m

Answer 8

POWER OF A PRODUCT

Question 9

Rules of Exponents: DISTRIBUTION

(a^m)_n= a_mn

Answer 9

POWER OF A POWER

Question 10

Rules of Exponents: SAME BASE

a^-m= 1/a^m

Answer 10

NEGATIVE EXPONENTS LAW

Question 11

Rules of Exponents: SAME BASE

a^m/aⁿ= a^m-n

Answer 11

QUOTIENT LAW

Question 12

Rules of Exponents: SAME BASE

a^m x aⁿ = a^m+n

Answer 12

PRODUCT LAW

Question 13

Rules of Exponents: BASIC

a¹ = a

Answer 13

IDENTITY EXPONENT LAW

Question 14

Rules of Exponents: BASIC

a⁰ = 1

Answer 14

ZERO EXPONENT LAW

Question 15

What is the simplest exponential function?

Answer 15

f(x)=2^x