215k views
1 vote
Exponential function? And Common ratio :And Function : Pls help me

Exponential function? And Common ratio :And Function : Pls help me-example-1
User Lanting
by
8.0k points

1 Answer

6 votes

Hello there. To solve this question, we'll have to remember some properties about exponential functions and recognizing patterns.

1. Given the table:

Is this an exponential function? No. Notice that all the terms from the x part were multiplied by a factor of 3, thus this is a linear function and its expression is: y = 3x.

2. Given the table:

Is this an exponential function? Yes. The common ratio between the values of y is 3, notice that 81/27 = 27/9 = 9/3 = 3/1 = 3, which means this is an exponential function of the form y = 3^x.

3. Given the table:

Is this an exponential function? Yes. Notice every term is decreasing by a factor of 2. The common ratio is 1/2, because 0.5/1 = 1/2 = 2/4 = 1/2. The form of this exponential function is: y = 2^(3-x)

if x = 1, y = 4

x = 2, y = 2

x = 3, y = 1

x = 4, y = 0.5.

Exponential function? And Common ratio :And Function : Pls help me-example-1
Exponential function? And Common ratio :And Function : Pls help me-example-2
Exponential function? And Common ratio :And Function : Pls help me-example-3
User Erik Oosterwaal
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories