Unit 4 TEST_ONLINE PART

Front

What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. Example: Population growth.

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a consistent percentage over time, leading to a rapid decrease. Example: Radioactive decay.

Front

What is the Domain of the function f(x)=log_5(x+4) - 2?

Back

Domain: x > -4.

Front

What is the Range of the function f(x)=log_5(x+4) - 2?

Back

Range: all real numbers.

Front

How do you translate the function f(x)=x^2 right 4 units and up 2 units?

Back

The translated function is f(x)=(x-4)^2+2.

Front

What is a Linear Function?

Back

A Linear Function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an Exponential Function?

Back

An Exponential Function is a function of the form f(x) = a*b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the difference between Linear and Exponential Functions?

Back

Linear functions increase or decrease at a constant rate, while exponential functions increase or decrease at a rate proportional to their current value.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.