Functions, Linearity, Continuity, etc.

Front

Evaluate f(-2) if f(x) = x² + 3

Back

7

Front

Which set of ordered pairs is 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)}

Front

Does the graph represent a linear function, a non-linear function, or is it not a function?

Back

Linear Function

Front

Put this into standard form: y = 3x + 2

Back

3x - y = -2

Front

Determine whether the following situation is discrete or continuous: Each t-shirt bought from a local screenprinting company is $8. x represents the number of shirts bought and f(x) represents the total cost of t-shirts.

Back

discrete

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the definition of a linear function?

Back

A function that can be graphically represented as a straight line.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does continuity mean in a function?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the difference between discrete and continuous data?

Back

Discrete data can only take specific values, while continuous data can take any value within a range.