1st Semester - Precalculus Final Review

Front

What is an infinite discontinuity in a function?

Back

An infinite discontinuity occurs when the function approaches infinity as it approaches a certain point, typically represented by a vertical asymptote in the graph.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as the input approaches a.

Front

How do you find the roots of a polynomial function?

Back

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

Front

What are the roots of the polynomial f(x) = -x(x+1)(x-3)?

Back

The roots are 0, -1, and 3.

Front

What is the process to add rational expressions?

Back

To add rational expressions, find a common denominator, rewrite each expression with that denominator, and then combine the numerators.

Front

What is the polynomial function of least degree with rational coefficients and given zeros 1 and -4i?

Back

Front

What does f(2) represent in a function?

Back

f(2) represents the value of the function at x = 2.

Front

How do you determine the value of a function from its graph?

Back

To determine the value of a function from its graph, locate the x-value on the horizontal axis and find the corresponding y-value on the vertical axis.

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.