(JHS PreCal) Section 1.1-1.2 Formative

Front

What is the value of f(-2) if f(x) = 2x + 8?

Back

4

Front

What is the set builder notation for the domain (0,3) ∪ [5,∞)?

Back

{x | 0 < x < 3 or x ≥ 5 }

Front

What is the domain of the function f(x) = \frac{5}{x-7}?

Back

(-∞,7) ∪ (7,∞)

Front

What is the domain of the function f(x) = \sqrt{x-7}?

Back

[7, ∞)

Front

Define domain in the context of functions.

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 function to be undefined at a certain point?

Back

A function is undefined at a point if there is no valid output for that input, often due to division by zero or taking the square root of a negative number.

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include its endpoints, while a closed interval [a, b] includes its endpoints.

Front

How do you express the domain of a function using interval notation?

Back

Interval notation uses parentheses for open intervals and brackets for closed intervals to denote the range of values included.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.