Honors Precalculus District Assessment MP2

Front

What is an inverse function?

Back

An inverse function reverses the operation of the original function. If the function f takes an input x and produces an output y, then the inverse function f⁻¹ takes y as input and produces x as output.

Tags

CCSS.HSF-BF.B.4A

Front

How can you determine if two functions are inverses of each other?

Back

Two functions f(x) and g(x) are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain.

Tags

CCSS.HSF-BF.B.4B

Front

What is the significance of a function exceeding the population in a model?

Back

If a function predicts a value that exceeds the total population, it indicates that the model is unrealistic or not applicable in that context.

Front

Back

This represents an exponential growth function where y increases as x increases, with a growth factor of 1.25.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential decay function?

Back

Tags

CCSS.HSF-IF.C.8B

Front

What is the difference between exponential growth and decay?

Back

Exponential growth occurs when a quantity increases over time, while exponential decay occurs when a quantity decreases over time.

Tags

CCSS.HSF-IF.C.8B

Front

Back

The domain of the logarithmic function is all positive real numbers, i.e., x > 0.

Front

Back

The range of the logarithmic function is all real numbers.

Tags

CCSS.HSF-IF.C.7E

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.

Tags

CCSS.HSF-IF.C.7B

Front

What is the importance of the base in exponential functions?

Back

The base of an exponential function determines the rate of growth or decay. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Tags

CCSS.HSF-IF.C.8B