Math 4 Unit 2 Piecewise Functions-Flashcard -2A Makeup

Front

Evaluate f(-3) for the piecewise function: f(x) = { x^2, x < 0; 2x + 1, x >= 0 }

Back

-3

Front

Evaluate f(2) for the piecewise function: f(x) = { x^2, x < 1; 3x - 2, 1 <= x < 3; 5, x >= 3 }

Back

4

Front

Find f(-2) for the piecewise function: f(x) = { 0, x = -2; x + 1, x < -2; 2x, x > -2 }

Back

0

Front

Identify the type of discontinuity at x=2 for the function: f(x) = { 1/x, x < 2; 3, x >= 2 }

Back

Infinite Discontinuity

Front

Identify the type of discontinuity at x=1 for the function: f(x) = { x^2, x < 1; 2, x = 1; x + 1, x > 1 }

Back

Removable Discontinuity

Front

What is a Jump Discontinuity?

Back

A type of discontinuity where the left-hand limit and right-hand limit exist but are not equal.

Front

What is an Infinite Discontinuity?

Back

A type of discontinuity where the function approaches infinity as it approaches a certain point.

Front

What is a Removable Discontinuity?

Back

A type of discontinuity where a function is not defined at a point, but can be made continuous by defining it at that point.

Front

Evaluate f(0) for the piecewise function: f(x) = { -x, x < 0; x^2, x >= 0 }

Back

0

Front

Evaluate f(3) for the piecewise function: f(x) = { 2x, x < 2; x + 1, x >= 2 }

Back

4