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Exponential functions review pdf 2026

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The document is a review sheet for an Algebra PreAP/GT test focused on exponential functions. It includes various questions related to the domain and range of exponential functions, growth and decay rates, initial values in real-world scenarios, and modeling population growth. The questions require students to analyze graphs, derive equations, and apply concepts of exponential growth and decay.

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What are the five properties of exponential functions?

Exponential Function Properties The graph passes through the point (0,1). The domain is all real numbers. The range is y0. The graph is increasing. The graph is asymptotic to the x-axis as x approaches negative infinity. The graph increases without bound as x approaches positive infinity. The graph is continuous.

What are examples of exponential functions in real life?

Applying Exponents to Real-World Scenarios Compound Interest. Compound interest calculations are among the most popular applications for exponents. Population Growth. Another use of exponents is in the rise of populations. Radioactive Decay. Technology and Computing. Epidemiology.

How to analyze an exponential function?

STEP 1 Determine the constant multiplier, or constant ratio, between successive function values. This multiplier will be the value of b. Use any two consecutive values of f(x) from the graph. STEP 2 Interpret the value of b as the growth rate or rate of decay.

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What are 5 real life examples of exponential functions?

Examples: Balance of an investment earning compound interest. Population growth. Growth of cells. Spread of a disease in a pandemic.

How do I evaluate exponential functions?

To evaluate an exponential function with the form f(x)=bx f ( x ) = b x , we simply substitute x with the given value, and calculate the resulting power.

Exponential functions review pdf 2026

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