AA~ HW ck 3-5 day 1

Front

What is the definition of 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

How do you determine if a graph represents a function?

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

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

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is R: {-4, -3, 1}.

Front

What does it mean for a graph to not be a function?

Back

A graph is not a function if there exists at least one vertical line that intersects the graph at more than one point.

Front

What is the significance of the notation f(g(x))?

Back

f(g(x)) represents the composition of two functions, where g(x) is applied first, followed by f.

Front

How do you find f(g(3)) if f(x) = x^2 and g(x) = 2x - 1?

Back

First, calculate g(3) = 2(3) - 1 = 5. Then, calculate f(5) = 5^2 = 25.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.