11: Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Back

The y-intercept is the value of b in the equation, which is the constant term.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that is added or subtracted to get from one term to the next.

Front

How do you calculate the average rate of change?

Back

The average rate of change is calculated by taking the difference in the output values divided by the difference in the input values over a specified interval.

Front

What is the formula for the average rate of change?

Back

The formula is: \( \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \) where a and b are the input values.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input has exactly one output.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.

Front

How can you determine if a relation is a function using a graph?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.