logo for solving-math-problems.com
leftimage for solving-math-problems.com

Linear or Exponential Function?











































Algebra

Linear Function: An equation where every independent variable is ONLY raised to the POWER OF ONE. A typical linear equation with one independent variable is: y = ax + b. When plotted on x-y coordinates, a linear function will be a straight line.

Exponential Function: An equation where the independent variables are exponents. An example of an exponential function with one independent variable is: y = ax

Does the table represent a linear or an exponential function?

X -  1,     2,     3,      4
Y - 16,    64,  256,  1024

Explain.

Comments for Linear or Exponential Function?

Click here to add your own comments

Feb 24, 2013
Algebra
by: Staff


Answer


The values in the table represent the following exponential function:

y = 4(x + 1)

You can verify this by recomputing the table:

x1 = 1, y1 = 4(1 + 1) = 42 = 16

x2 = 2, y2 = 4(2 + 1) = 43 = 64

x3 = 3, y3 = 4(3 + 1) = 44 = 256

x4 = 4, y4 = 4(4 + 1) = 45 = 1024

A plot of the function y = 4(x + 1), along with the data points from the table, is shown below:

 Math – graph of Exponential Function y = 4^(x+1)








Thanks for writing.

Staff
www.solving-math-problems.com


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com