Math 4 Unit 2 Piecewise Functions-Flashcard -1B - 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 does it mean if a function is undefined at a certain point?

Back

A function is undefined at a certain point if there is no output value for that input, often due to division by zero or other restrictions.

Front

How do you find the x-value for a given y-value in a function?

Back

To find the x-value for a given y-value, set the function equal to the y-value and solve for x.

Front

What is the cost structure of the painter's charges?

Back

The painter charges $12 per hour for the first 40 hours, $18 for the next 10 hours, and $24 for any hours beyond 50.

Front

Calculate the total earnings for a painter who works 70 hours.

Back

For 70 hours: 40 hours at $12 = $480, 10 hours at $18 = $180, 20 hours at $24 = $480. Total = $480 + $180 + $480 = $1140.

Front

What is the output of the function f(x) = -3 when x = 1?

Back

f(1) = -3.

Front

What is the output of the function f(x) = -1 when x = 2?

Back

f(2) = -1.

Front

If f(x) = x^2 - 1, what is f(0)?

Back

f(0) = 0^2 - 1 = -1.

Front

How do you interpret the graph of a piecewise function?

Back

The graph of a piecewise function consists of multiple segments, each representing a different expression for specific intervals of the domain.