170k views
3 votes
How to draw the graphs of the following non-linear functions?y=x^2 + 1y=3^x + 1

How to draw the graphs of the following non-linear functions?y=x^2 + 1y=3^x + 1-example-1
User J Prakash
by
3.0k points

1 Answer

1 vote

The first step is to substitute values of x into each equation.

For y = x^2 + 1,

if x = - 2, y = (- 2)^2 + 1 = 4 + 1 = 5

if x = - 1, y = (- 1)^2 + 1 = 1 + 1 = 2

if x = 0, y = (0)^2 + 1 = 0 + 1 = 1

if x = 1, y = (1)^2 + 1 = 1 + 1 = 2

if x = 2, y = (2)^2 + 1 = 4 + 1 = 5

We would plot the corresponding values of x and y on the graph as shown below

For y = 3^(x + 1),

if x = - 2, y = 3^(-2 + 1) = 3^-1 = 0.33

if x = - 1, y = 3^(-1 + 1) = 3^0 = 1

if x = 0, y = 3^(0 + 1) = 3^1 = 3

if x = 1, y = 3^(1 + 1) = 3^2 = 9

if x = 2, y = 3^(2 + 1) = 3^3 = 27

We would plot the corresponding values of x and y on the graph as shown below

How to draw the graphs of the following non-linear functions?y=x^2 + 1y=3^x + 1-example-1
How to draw the graphs of the following non-linear functions?y=x^2 + 1y=3^x + 1-example-2
User Luron
by
3.2k points