Graph of the function is an exponential growth with a vertical shift upward by 2 units. As x increases, y grows rapidly. The graph approaches, but never reaches, the x-axis due to the constant term. Graph 4 is the correct graph.
What is exponential function?
An exponential function is a mathematical function in the form f(x) = a bˣ, where a and b are constants, and b is greater than 1, resulting in rapid growth as x increases.
Here's a table of values for the function y = 2ˣ +2
Table of values
x y
-2 2.25
-1 3
0 4
1 6
2 10
The paired values of x and y are marked on a graph and the points gently connected to produce the curve which represents the function y = 2ˣ + 2
Graph of the function is an exponential growth with a vertical shift upward by 2 units. As x increases, y grows rapidly. The graph approaches, but never reaches, the x-axis due to the constant term.
Complete question
Which of the following represents the graph of f(x) = 2ˣ + 2?