Math 4 Unit 2 Piecewise Functions-Flashcard -1A (Makeup)

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different intervals of its domain.

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify the interval in which the input value falls and use the corresponding expression to find the output.

Front

What is the formula for a linear function?

Back

The formula for a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate f(x) = 2x + 1 at x = 1.

Back

f(1) = 2(1) + 1 = 3.

Front

What is a discontinuity in a function?

Back

A discontinuity is a point at which a function is not continuous, meaning there is a break, jump, or hole in the graph.

Front

What are the types of discontinuities?

Back

The types of discontinuities include removable discontinuity, jump discontinuity, and infinite discontinuity.

Front

Define removable discontinuity.

Back

A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it at that point.

Front

What is the cost of 47 cupcakes if each costs $3.75?

Back

Cost = 47 * 3.75 = $176.25.

Front

How do you find the limit of a function at a point?

Back

To find the limit of a function at a point, evaluate the function as it approaches that point from both sides.

Front

What does it mean for a function to be continuous at a point?

Back

A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.