EOC.3 Algebra 1 Full Unit 3 Milestone Review

Front

What is a function in mathematics?

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.

Tags

CCSS.8.F.A.1

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

Tags

CCSS.8.F.A.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 evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the given input value into the function's equation and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of the function f(x) = x^2 + 3?

Back

The domain of f(x) = x^2 + 3 is (-∞, ∞) because it is defined for all real numbers.

Front

What is the range of the function f(x) = x^2 + 3?

Back

The range of f(x) = x^2 + 3 is [3, ∞) because the minimum value is 3 when x = 0.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.

Tags

CCSS.HSF-IF.C.7B

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions have distinct, separate values (often represented as points), while continuous functions have an unbroken range of values.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.