Unit 3 Flashcard #2 Review (equations of a line, functions, domain &

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Which set 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 because no x-value is repeated.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation of the line with slope -2 that goes through (0,7).

Back

y = -2x + 7.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What does it mean for a function to have a greatest initial value?

Back

The greatest initial value refers to the highest y-value when x is at its minimum value.

Front

Evaluate f(-5) if f(x) = -2x - 12.

Back

f(-5) = -2(-5) - 12 = 10 - 12 = -2.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is the difference between a relation and a function?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has one output.