Relations and Functions Review

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

In interval notation, what symbol is used for +∞ and -∞?

Back

( ) Parentheses are used for +∞ and -∞ in interval notation.

Front

Given f(x) = x^2 + 3x + 1, find f(-4).

Back

f(-4) = 5.

Front

Given f(x) = -5x - 15, find f(4).

Back

f(4) = -35.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function must have only one output for each input.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.