IM Algebra Unit #4 Functions Review

Front

What is a function in mathematics?

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 does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the meaning of D(0) = 10 in the context of distance?

Back

It means that at time t = 0 minutes, Luke has 10 miles remaining to drive.

Front

How do you calculate the remaining amount in a function like g(w) = 10000 - 850w?

Back

You substitute the number of weeks (w) into the function to find the remaining amount of gold coins.

Front

What does N(8) = 12 signify in a grading function?

Back

It signifies that 12 students received a grade of 8 on the exam.

Front

How do you interpret a graph of a function?

Back

A graph visually represents the relationship between the input (x-axis) and output (y-axis) of a function.

Front

What is the average rate of change in a function?

Back

The average rate of change is the change in the output value divided by the change in the input value over a specific interval.

Front

If a function is linear, what does its graph look like?

Back

A linear function's graph is a straight line, indicating a constant rate of change.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the output when the input is zero.

Front

How do you find the future value in a linear growth function?

Back

You can find the future value by using the formula: Future Value = Initial Value + (Rate of Change * Time).