# 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?

 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: Thanks for writing. Staff www.solving-math-problems.com