Precalculus Midterm

Front

What is an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain. Example: f(x) = x^2.

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. Example: f(x) = x^3.

Tags

CCSS.HSF.BF.B.3

Front

What does it mean for a function to have a zero?

Back

A zero of a function f(x) is a value x such that f(x) = 0.

Tags

CCSS.HSF-IF.C.7D

Front

How do you determine if k is a zero of f(x)?

Back

Substitute k into f(x) and check if the result is 0.

Tags

CCSS.HSF-IF.C.7C

Front

What is function composition?

Back

Function composition is applying one function to the result of another. If f(x) and g(x) are functions, then f(g(x)) is their composition.

Tags

CCSS.HSF-BF.A.1C

Front

How do you find f(g(x)) for f(x) = 2x and g(x) = x^2 + 3?

Back

f(g(x)) = f(x^2 + 3) = 2(x^2 + 3) = 2x^2 + 6.

Tags

CCSS.HSF-BF.A.1C

Front

What is the multiplicity of a zero?

Back

The multiplicity of a zero is the number of times that zero appears as a root of the function.

Tags

CCSS.HSF-IF.C.7C

Front

How do you find the real zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.