7.1-7.3 Practice (Longer)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does p(p(x)) mean?

Back

It means to apply the function p to the result of p(x).

Front

How do you find the value of a function at a specific point?

Back

Substitute the specific point into the function's equation.

Front

What is the composition of functions?

Back

The composition of functions f and g, denoted as f(g(x)), means to apply g first and then apply f to the result.

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches.

Front

What is the horizontal asymptote of a function?

Back

The horizontal asymptote is the value that the function approaches as x approaches infinity or negative infinity.

Front

How do you find the vertical asymptote of a function?

Back

Set the denominator of a rational function to zero and solve for x.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function.

Front

What is the degree of a polynomial?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first.