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 find the x-value where two piecewise functions intersect?

Back

Set the two functions equal to each other and solve for x.

Front

What does the notation f(x) = -4x - 10 represent?

Back

It represents a linear function where the slope is -4 and the y-intercept is -10.

Front

What is the domain of a function?

Back

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

Front

How do you evaluate a function at a specific point, such as h(-1)?

Back

Substitute -1 into the function h(x) and simplify to find the output value.

Front

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

Back

A function is undefined at a certain point if there is no valid output for that input, often due to division by zero or taking the square root of a negative number.

Front

What are domain restrictions in piecewise functions?

Back

Domain restrictions specify the intervals over which each piece of the function is valid.

Front

How do you determine the range of a piecewise function?

Back

The range is determined by finding the output values for each piece of the function over its defined domain.

Front

What is the significance of the inequality 1 ≤ x < 3 in a piecewise function?

Back

It indicates that the piece of the function is valid for x-values starting from 1 (inclusive) to 3 (exclusive).

Front

How do you evaluate a piecewise function at a boundary point?

Back

Evaluate the function using the appropriate piece that corresponds to the boundary point.