AP Precalculus Unit 1 Review

Front

What is an even function?

Back

An even function is symmetric about the y-axis, meaning that for all x in the domain, f(-x) = f(x).

Tags

CCSS.HSF.BF.B.3

Front

What is an odd function?

Back

An odd function is symmetric about the origin, meaning that for all x in the domain, g(-x) = -g(x).

Tags

CCSS.HSF.BF.B.3

Front

What does it mean if a polynomial function has an even degree?

Back

A polynomial function with an even degree can have a global maximum or minimum, but it does not guarantee both.

Front

What does it mean if a polynomial function has an odd degree?

Back

A polynomial function with an odd degree will have at least one x-intercept and will extend to positive infinity in one direction and negative infinity in the other.

Front

What is the significance of the x-axis crossing in a function's graph?

Back

If the graph of a function crosses the x-axis, it indicates that the corresponding zero has an odd multiplicity.

Front

How do you determine where a polynomial function is greater than zero?

Back

To find where f(x) > 0, identify the intervals on the x-axis where the graph is above the x-axis.

Tags

CCSS.HSA.APR.B.3

Front

What is the relationship between the degree of a polynomial and its end behavior?

Back

The end behavior of a polynomial function is determined by its leading term; even degree polynomials have the same end behavior, while odd degree polynomials have opposite end behavior.

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the difference between a global maximum and a local maximum?

Back

A global maximum is the highest point over the entire domain of the function, while a local maximum is the highest point within a specific interval.

Front

What does it mean for a function to be symmetric about the y-axis?

Back

A function is symmetric about the y-axis if for every point (x, f(x)), the point (-x, f(x)) is also on the graph.

Tags

CCSS.HSF.BF.B.3