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.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.HSF-IF.C.7D

Front

What are the types of discontinuities?

Back

The main types of discontinuities are removable discontinuity, jump discontinuity, and infinite discontinuity.

Tags

CCSS.HSF-IF.C.7D

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a function has a hole at a certain point, which can be 'removed' by redefining the function at that point.

Tags

CCSS.HSF-IF.C.7D

Front

What is a jump discontinuity?

Back

A jump discontinuity occurs when the left-hand limit and right-hand limit of a function at a certain point do not equal each other.

Front

What is an infinite discontinuity?

Back

An infinite discontinuity occurs when the function approaches infinity or negative infinity as it approaches a certain point.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set the function equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF.IF.A.2

Front

Evaluate h(x) = 2x - 4 at x = 3.

Back

h(3) = 2(3) - 4 = 6 - 4 = 2.

Tags

CCSS.HSF.IF.A.2