Algebra 1 Exponential Functions Practice Worksheet
Are you ready to test your skills in exponential functions? This practice worksheet is designed to help you assess your understanding of exponential functions and provide you with an opportunity to practice solving problems. So, grab your pencil and let’s get started!
Section 1: Evaluating Exponential Functions
Evaluate each exponential function at the given value of x.
- f(x) = 2^x, x = 3
- g(x) = 3^(2x), x = 2
- h(x) = (1⁄2)^x, x = -1
📝 Note: Remember to use the order of operations when evaluating exponential functions.
Section 2: Graphing Exponential Functions
Graph each exponential function. Be sure to label the x and y axes, and identify the y-intercept.
- f(x) = 2^x
- g(x) = 3^(2x)
- h(x) = (1⁄2)^x
Section 3: Solving Exponential Equations
Solve each exponential equation.
- 2^x = 16
- 3^(2x) = 81
- (1⁄2)^x = 1⁄4
📝 Note: Use logarithms to solve exponential equations when necessary.
Section 4: Word Problems
Solve each word problem.
- A population of bacteria grows exponentially at a rate of 20% per hour. If there are initially 100 bacteria, how many will there be after 5 hours?
- A savings account earns interest at an annual rate of 5%. If you deposit $1,000 initially, how much will you have after 10 years?
- A company’s sales are growing exponentially at a rate of 15% per year. If the sales are currently $100,000, what will they be in 5 years?
Section 5: Challenge Problems
Solve each challenge problem.
- If f(x) = 2^x and g(x) = 3^(2x), find the value of x that satisfies the equation f(x) = g(x).
- If h(x) = (1⁄2)^x, find the value of x that satisfies the equation h(x) = 1⁄4.
- If a company’s profits are growing exponentially at a rate of 20% per year, and the current profit is $500,000, what will the profit be in 10 years?
As you work through this practice worksheet, remember to use the properties of exponential functions to simplify and solve the problems. Take your time, and don’t hesitate to ask for help if you need it. Good luck!
What is an exponential function?
+An exponential function is a function of the form f(x) = a^x, where a is a positive constant and x is the variable.
How do I evaluate an exponential function?
+To evaluate an exponential function, replace the variable with the given value and simplify the expression.
How do I solve an exponential equation?
+To solve an exponential equation, use logarithms to isolate the variable, or use properties of exponential functions to simplify the equation.
Related Terms:
- Graphing Exponential Functions Worksheet
- 7-1 Graphing Exponential Functions
- Exponential function pdf
- Transformations of Exponential Functions Worksheet
