112E Summer Final Exam Review

Front

What determines the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient.

Front

What is the domain of a rational function?

Back

The domain of a rational function is the range of acceptable x-values that may be plugged into the function, excluding values that make the denominator equal to 0.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write an inequality for a given graph?

Back

To write an inequality for a graph, identify the range of x-values or y-values represented in the graph and express it using inequality symbols.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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.

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values) of the function.

Front

How do you determine if a polynomial function is even or odd?

Back

A polynomial function is even if f(-x) = f(x) for all x, and it is odd if f(-x) = -f(x) for all x.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.