Unit 2 Review (2.1-2.7)

Front

What must be included when graphing a polynomial function?

Back

A table with at least one point on either side of EACH zero.

Front

Identify the slant asymptote of the function: y=2x-1

Back

y=2x-1

Front

What is a hole in a function?

Back

A hole occurs at a value of x where the function is undefined due to a factor that cancels out.

Front

What is the horizontal asymptote of a function?

Back

The horizontal line that the graph approaches as x approaches infinity.

Front

Solve for x: 2x + 3 = 13

Back

x = 5

Front

What is the definition of 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 does it mean if a function has no horizontal asymptote?

Back

It means that as x approaches infinity, the function does not approach a specific y-value.

Front

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

Back

Set the polynomial equal to zero and solve for x.

Front

What is the significance of a slant asymptote?

Back

It describes the behavior of a function as x approaches infinity when the degree of the numerator is one more than the degree of the denominator.

Front

What is the relationship between zeros and x-intercepts?

Back

Zeros of a function are the values of x that make the function equal to zero, which correspond to the x-intercepts on the graph.