2024-25 Pre-Calculus Fall Final

Front

What is the sum of two functions f(x) and g(x)?

Back

The sum of two functions f(x) and g(x) is defined as (f + g)(x) = f(x) + g(x).

Front

How do you find the vertical asymptote of a rational function?

Back

To find the vertical asymptote of a rational function, set the denominator equal to zero and solve for x.

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs at a point where a function is not defined, but can be made continuous by defining it at that point.

Front

What is a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the function equal to zero and solve for x.

Front

What is the definition of 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 it mean for a function to be strictly increasing?

Back

A function is strictly increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What is the difference between a hole and an asymptote in a graph?

Back

A hole occurs at a point where the function is not defined but can be defined, while an asymptote is a line that the graph approaches but never touches.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable and determines the polynomial's end behavior and number of zeros.

Front

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

Back

To determine the x-intercepts of a function, set f(x) = 0 and solve for x.