Chp 1 Functions: Limits Zeros Max Min...

Front

What is an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain of f. Graphically, even functions are symmetric about the y-axis.

Tags

CCSS.HSF.BF.B.3

Front

What is an odd function?

Back

A function f(x) is odd if f(-x) = -f(x) for all x in the domain of f. Graphically, odd functions are symmetric about the origin.

Tags

CCSS.HSF.BF.B.3

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 exist but are not equal.

Tags

CCSS.HSF.IF.A.2

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a function is not defined at a point, but the limit exists at that point. It can be 'removed' by redefining the function at that point.

Tags

CCSS.HSF-IF.C.7D

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

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a ≠ 0.

Front

How do you translate a function left or right?

Back

To translate a function left, subtract from x in the function's equation. To translate right, add to x.

Front

What is the parent function of a quadratic?

Back

The parent function of a quadratic is f(x) = x², which is a parabola opening upwards.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.