Chapter 2 Flashcard Algebra II

Front

What do you plug into the equation to find the x-intercept?

Back

y=0

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

Why do we plug x=0 in for the y-intercept?

Back

The x-value is always 0 at a y-intercept.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

(-infinity, 2) U (2, infinity) because x cannot be 2.

Front

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

Back

[0, infinity) because the output is always non-negative.

Front

How do you find the y-intercept of a function?

Back

Plug in x=0 into the function.

Front

What is the difference between domain and range?

Back

Domain refers to input values (x-values), while range refers to output values (y-values).

Front

What does it mean if a function is defined for all real numbers?

Back

The domain of the function is (-infinity, infinity).

Front

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

Back

(-infinity, 0] because the output is always non-positive.

Front

What is a vertical asymptote?

Back

A vertical line x=a where the function approaches infinity or negative infinity.