Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

Which of the following is NOT a function? (Example: {(1,2), (1,3), (2,4)})

Back

A relation is NOT a function if any input is related to more than one output.

Front

Identify a function from the following sets: (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

If f(x) = 2x + 1, find f(1).

Back

f(1) = 3.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 3x + 16?

Back

The slope (m) is 3.

Front

What is the y-intercept in the equation y = -3x + 10?

Back

The y-intercept (b) is 10.

Front

Is the following table a function? {(1,2), (1,3), (2,4)}

Back

Not a Function.

Front

What is the equation of the linear function that passes through the points (0, 16) and (1, 19)?

Back

y = 3x + 16.

Front

What does it mean for a relation to be a function?

Back

It means that each input (x-value) has exactly one output (y-value).