Exponential Functions Practice Questions
Q1. Calculate the value of f(x) for f(x) = 3.2x when x = 4.
Q2. Given the exponential function g(x) = 5.(0.5)x, sketch the graph of the function. Indicate the behavior of the function as x increases and as x decreases. Identify any asymptotes and intercepts.
Q3. A population of bacteria doubles every hour. If the initial population is 200 bacteria, express the population P as an exponential function of time t in hours. Then, find the population after 6 hours.
Q4. Solve for x in the exponential equation 10.3x = 90.
Exponential Functions: Definition, Formula and Examples
Exponential Function is a Mathematical function that involves exponents. It is written in the form f (x) = ax, where “x” is a variable and “a” is a constant. The constant a is the base of the function and it should be greater than 0.
Exponential Functions
An exponential function is classified into two types, i.e., exponential growth and exponential decay. If the function is increasing then it’s called exponential growth and if the function is decreasing then it’s called exponential decay.
Let’s know more about Exponential Function definition, formula, properties and examples in detail below.
Table of Content
- What is Exponential Function?
- Exponential Function Formula
- Exponential Function Graph
- Exponential Function Series
- Exponential Function Properties
- Domain and Range of Exponential Functions
- Exponential Function Rules
- Exponential Functions Examples