M3 Sem1 Review Topic 1

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

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.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing on an interval if the output values increase as the input values increase. It is decreasing if the output values decrease as the input values increase.

Front

What does it mean for a function to have a maximum?

Back

A function has a maximum at a point if the output value at that point is greater than or equal to the output values at all nearby points.

Front

What does it mean for a function to have a minimum?

Back

A function has a minimum at a point if the output value at that point is less than or equal to the output values at all nearby points.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas over different intervals of its domain.

Front

How do you find the value of a piecewise function at a specific point?

Back

To find the value of a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression for that interval.

Front

What is an interval notation?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation (-inf, inf) represent?

Back

The notation (-inf, inf) represents all real numbers, meaning there are no restrictions on the domain.

Front

What does the notation [a, b] represent?

Back

The notation [a, b] represents a closed interval that includes both endpoints a and b.