NC Math 3 2018 Released EOC Questions

Front

What is the definition of a negative interval in a function's graph?

Back

A negative interval is a range of x-values where the function's output (y-values) is less than zero.

Front

How do you determine where a function is decreasing on its graph?

Back

A function is decreasing on an interval if, as x increases, the y-values decrease.

Front

What is the formula for combining work rates?

Back

If person A can complete a task in a hours and person B in b hours, together they can complete the task in \( \frac{1}{\frac{1}{a} + \frac{1}{b}} \) hours.

Front

What does the absolute value function represent?

Back

The absolute value function, denoted as |x|, represents the distance of x from zero on the number line, always yielding a non-negative result.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) for which the function is defined.

Front

How do you find the interval where a function is positive?

Back

A function is positive on an interval if all y-values in that interval are greater than zero.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include its endpoints, while a closed interval [a, b] includes its endpoints.

Front

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

Back

The x-intercepts of a function are the points where the graph crosses the x-axis, found by setting the function equal to zero.

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials.