Comparing Functions REVIEW

Front

What type of function best models the path of a basketball after it is thrown?

Back

Quadratic

Front

How can you determine if a table of values represents a linear, quadratic, or exponential function?

Back

By analyzing the rate of change between the values.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

Identify the type of function: f(x) = 2(x+4)² - 7.

Back

Quadratic

Front

Which graph represents a linear function?

Back

Graph D

Front

What is exponential decay?

Back

A decrease in quantity where the rate of decay is proportional to the current value.

Front

What is the decay factor in the context of exponential decay?

Back

The factor by which the quantity decreases in each time period.

Front

If a ball is dropped from a height of 12 feet and bounces back to 75% of its height, what type of function does this represent?

Back

Exponential decay with a decay factor of 0.75.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change; quadratic functions have a variable rate of change.

Front

What does it mean for a function to be exponential growth?

Back

An increase in quantity where the rate of growth is proportional to the current value.