QTR 2: ALG U7 CW #5: Evaluating Functions & Interval Notation

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point, such as f(4) for f(x) = 4x + 5?

Back

To evaluate f(4), substitute 4 for x in the function: f(4) = 4(4) + 5 = 21.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

Front

How do you express the interval [3, 5] as an inequality?

Back

3 ≤ x ≤ 5.

Front

What is the first step to evaluate f(1) for f(x) = 2x + 1?

Back

Plug a 1 in for all the x's.

Front

Evaluate f(-1) for f(x) = 2x² + 5x - 3.

Back

f(-1) = 2(-1)² + 5(-1) - 3 = -6.

Front

What does the notation [a, b] mean in interval notation?

Back

It means that the interval includes both endpoints a and b.

Front

What does the notation (a, b) mean in interval notation?

Back

It means that the interval does not include the endpoints a and b.

Front

How do you read f(x)?

Back

f of x.