Final AP Pre-Calculus

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

• Set the function equal to zero and solve for x.

• Find the maximum value of the function.

• Calculate the derivative of the function.

• Evaluate the function at x = 0.

Tags

CCSS.HSF-IF.C.7C

What is a rational function?

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

• A function that is always increasing or decreasing.

• A function that has a constant value for all inputs.

• A function that can only take integer values.

Tags

CCSS.HSF-IF.C.7D

What is the leading coefficient test?

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

• A technique to find the roots of a polynomial equation.

• A way to factor polynomials into linear components.

• A process to evaluate the maximum value of a polynomial function.

What is the difference between even and odd functions?

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

• Even functions have a maximum value at the origin, while odd functions do not.

• Even functions are always positive, while odd functions are always negative.

• Even functions can only be linear, while odd functions can be quadratic.

Tags

CCSS.HSF.BF.B.3

What does it mean for a function to be continuous?

• A function is continuous if it has a constant value throughout its domain.

• A function is continuous if there are no breaks, jumps, or holes in its graph.

• A function is continuous if it can be represented by a polynomial equation.

• A function is continuous if it approaches a limit as the input approaches infinity.

Tags

CCSS.HSF-IF.C.7B

What is the range of a function?

• The set of all possible input values (x-values) that the function can accept.

• The set of all possible output values (y-values) that the function can produce.

• The difference between the highest and lowest values of the function.

• The slope of the function at a given point.

What are vertical asymptotes?

• Lines where the function approaches a constant value.

• Lines x = a where the function approaches infinity or negative infinity.

• Points where the function is undefined.

• Lines that represent the maximum value of a function.

Tags

CCSS.HSF-IF.C.7D

What is the significance of the y-intercept in a function?

• The y-intercept is the point where the graph of the function crosses the y-axis.

• The y-intercept indicates the slope of the function.

• The y-intercept is the maximum value of the function.

• The y-intercept represents the domain of the function.

What determines the end behavior of a polynomial function?

• The leading coefficient of the polynomial.

• The degree of the polynomial.

• The number of roots of the polynomial.

• The constant term of the polynomial.

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

• y = 0

• y = 1

• y = -1

• y = ∞

Tags

CCSS.HSF-IF.C.7D