Unit 3 Review

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

What does the multiplicity of a root indicate?

Back

The multiplicity of a root indicates the number of times the corresponding factor is repeated in a polynomial.

Front

How do you identify a hole in the graph of a function?

Back

A hole in the graph occurs at x-values that make the denominator of a rational function equal to zero, but do not make the numerator zero.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, replace all x-values with 0 in the function.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x is 0.

Front

What is the difference between a root and an x-intercept?

Back

A root is a solution to the equation f(x) = 0, while an x-intercept is the point on the graph where the function crosses the x-axis.

Front

What does it mean for a function to be continuous?

Back

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

Front

What is the degree of a polynomial?

Back

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

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the leading term and its degree.

Front

What is the relationship between the degree of a polynomial and the number of roots?

Back

The degree of a polynomial indicates the maximum number of roots it can have.