Pre-Calculus Flashcard 1

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What is the domain restriction of a function if it is defined as x ≥ 0?

Back

The domain restriction is x ≥ 0.

Front

Calculate f(-2) if f(x) = x^2.

Back

f(-2) = 4.

Front

What is g(7) if g(x) = 2x - 3?

Back

g(7) = 17.

Front

Which of the following sets of values represents a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values.

Front

Define the term 'domain' in relation to functions.

Back

The domain is the set of all possible input values for a function.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, f(x) also increases.

Front

What is the vertical line test?

Back

The vertical line test determines if a relation is a function by checking if any vertical line intersects the graph more than once.