S1 Final Exam Review - Units 1 and 2

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

How do you express the domain of a function graphically?

Back

The domain can be expressed using interval notation, such as (−∞, −3) or [−3, ∞).

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 express the range of a function graphically?

Back

The range can be expressed using interval notation, such as (−∞, −2] or [0, ∞).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases.

Front

How can you determine where a function is increasing?

Back

You can determine where a function is increasing by analyzing its derivative or by observing the graph.

Front

What is the formula for the speed of an airplane against the wind?

Back

The speed of an airplane against the wind is given by the expression a - w, where a is the speed of the airplane in still air and w is the speed of the wind.

Front

What is absolute value?

Back

Absolute value is a mathematical function that measures the distance of a number from zero on the number line, denoted as |x|.

Front

How do you solve an absolute value inequality?

Back

To solve an absolute value inequality like |b - 8| + 10 > 22, isolate the absolute value and split it into two cases.

Front

What is 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.