IM Algebra Unit #4 Functions Review (4.1-4.6)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically in the form f(x), where f is the function name and x is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

What does the graph of a linear function look like?

Back

The graph of a linear function is a straight line, which can be increasing, decreasing, or constant.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, f(0)).

Front

How do you find the remaining amount using a function?

Back

To find the remaining amount using a function, substitute the number of weeks into the function's equation.

Front

Write the function g for Harry's gold coins after w weeks.

Back

g(w) = 10000 - 850w.

Front

How many gold coins does Harry have after 7 weeks?

Back

g(7) = 10000 - 850(7) = 4050.

Front

How many gold coins does Harry have after 4 weeks?

Back

g(4) = 10000 - 850(4) = 6600.