Exploring Adding and Subtracting Rational Expressions

What is the standard form of a polynomial function?

• f(x) = a * x^2 + b * x + c

• f(x) = a_n * x^n + a_(n-1) * x^(n-1) + ... + a_1 * x + a_0

• f(x) = ax + b

• f(x) = a * x^3 + b * x^2 + c * x + d

Which of the following is true about the coefficients in a polynomial function?

• All coefficients must be positive.

• All coefficients must be real numbers.

• All coefficients must be negative.

• All coefficients must be integers.

What does the graph of a quadratic parent function look like?

• A horizontal line

• A cubic curve

• A parabola opening upward

• A straight line

How does the graph of a cubic function typically behave?

• It starts pointing downward and ends pointing upward.

• It is a horizontal line.

• It is a vertical line.

• It starts and ends pointing upward.

What is a turning point in the context of polynomial functions?

• A point where the graph changes direction

• A point where the graph is horizontal

• A point where the graph intersects the x-axis

• A point where the graph intersects the y-axis

What is a relative maximum?

• The lowest point in a particular neighborhood

• The lowest point on the entire graph

• The highest point in a particular neighborhood

• The highest point on the entire graph

When using a graphing calculator, what is the first step to find the turning points?

• Use the trace function

• Enter the function into the y= menu

• Press the graph button

• Adjust the window settings

What is the purpose of setting left and right bounds when finding a maximum or minimum on a graphing calculator?

• To zoom in on the graph

• To create a neighborhood of values

• To adjust the scale of the graph

• To change the function

What is the domain of a polynomial function that extends left and right forever?

• All positive numbers

• All negative numbers

• All real numbers

• All integers

How do you determine the increasing intervals of a polynomial function?

• By looking at the y-values

• By identifying the x-values where the function is rising

• By finding the turning points

• By calculating the derivative