Prac & Review Midterm

Front

What is the equation of the transformation if the original function is f(x) and the transformation is represented by the red graph?

Back

The equation of the transformation is -f(x).

Front

What type of growth is indicated by a population that increases by 2.5% each year?

Back

This is exponential growth.

Front

What type of function describes a situation where the number of bacteria doubles each hour?

Back

This is an exponential function.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {-4, -3, 1}.

Front

What transformation occurs in the function y = f(x) - 5?

Back

The graph of y = f(x) is shifted down 5 units.

Front

Define exponential growth.

Back

Exponential growth occurs when a quantity increases by a constant percentage over time.

Front

What is the difference between linear and exponential functions?

Back

Linear functions increase by a constant amount, while exponential functions increase by a constant percentage.

Front

What does the notation f(-x) represent in function transformations?

Back

f(-x) represents a reflection of the graph of f(x) across the y-axis.

Front

What does the notation f(2x) represent in function transformations?

Back

f(2x) represents a horizontal compression of the graph of f(x) by a factor of 2.