M 101 S1 FINAL Review

Front

What is the definition of 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

How do you determine 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

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

Back

A relation is a function if every input (x-value) corresponds to exactly one output (y-value).

Front

How can you identify if a graph represents a function?

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.

Front

What is the notation for a function evaluated at a specific point?

Back

The notation for a function evaluated at a specific point is f(x), where x is the input value.

Front

What does f(2) = 0 mean in terms of a function?

Back

It means that when the input value is 2, the output value of the function is 0.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows the relationship between them, using symbols like <, >, ≤, or ≥.

Front

How do you express the solution to an inequality on a number line?

Back

You can express the solution to an inequality on a number line by shading the region that satisfies the inequality and placing an open or closed dot at the boundary point.

Front

What does the inequality x ≥ 3 represent on a number line?

Back

It represents all numbers greater than or equal to 3, including 3 itself.