Final AP Pre-Calculus

Front

What determines the end behavior of a polynomial function?

Back

The leading coefficient of the polynomial.

Front

Evaluate f(g(5)) for f(x) = 3x + 10 and g(x) = x - 2.

Back

f(g(5)) = 19.

Tags

CCSS.HSF-BF.A.1C

Front

What type of function is characterized by symmetry about the origin?

Back

An odd function.

Tags

CCSS.HSF.BF.B.3

Front

What is the horizontal asymptote of a rational function when the degree of the numerator is less than the degree of the denominator?

Back

y = 0.

Tags

CCSS.HSF-IF.C.7D

Front

What are vertical asymptotes?

Back

Vertical asymptotes are lines x = a where the function approaches infinity or negative infinity.

Tags

CCSS.HSF-IF.C.7D

Front

Define a polynomial function.

Back

A function that is represented by a polynomial expression, which is a sum of terms consisting of a variable raised to a non-negative integer power.

Front

What is the leading coefficient test?

Back

A method to determine the end behavior of a polynomial function based on the sign of the leading coefficient.

Front

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

Back

Set the function equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7C

Front

What is the difference between even and odd functions?

Back

Even functions are symmetric about the y-axis, while odd functions are symmetric about the origin.

Tags

CCSS.HSF.BF.B.3

Front

What is a rational function?

Back

A function that can be expressed as the ratio of two polynomials.

Tags

CCSS.HSF-IF.C.7D