Algebraic Reasoning Unit 5 Review

Front

What function represents the number of players remaining in a tennis tournament where half are eliminated each round?

Back

f(x) = 1,024(0.50)^x

Front

What is the domain of the function defined as all real numbers greater than or equal to -5 and less than 3?

Back

Domain: All real numbers greater than or equal to -5 and less than 3.

Front

What is the range of the function that outputs values from 0 to 2?

Back

Range: All real numbers greater than or equal to 0 and less than or equal to 2.

Front

Back

The graph represents exponential growth.

Front

What are the coordinates of the y-intercept for the function y = 8(0.25)^x?

Back

The coordinates of the y-intercept are (0, 8).

Front

What is the range of the function defined by y = 2.5^x - 6?

Back

Range: {y|y > -6, y∈R}.

Front

What is the general form of an exponential function?

Back

The general form is f(x) = a(b)^x, where a is a constant and b is the base.

Front

How do you determine the x-intercept of an exponential function?

Back

Set f(x) = 0 and solve for x.

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that the graph approaches but never touches.

Front

What is the effect of a base greater than 1 in an exponential function?

Back

It results in exponential growth.