NC MATH 3 EOC REVIEW 5

Front

What is an x-intercept?

Back

An x-intercept is a point on the graph of a function where the value of y is zero. It is found by setting the function equal to zero and solving for x.

Front

How do you find the distance between two x-intercepts?

Back

To find the distance between two x-intercepts, subtract the smaller x-intercept from the larger x-intercept. The absolute value of the result gives the distance.

Front

What does it mean for two functions to intersect?

Back

Two functions intersect at points where their outputs (y-values) are equal for the same input (x-value).

Front

What is the significance of the smallest x-intercept in a function?

Back

The smallest x-intercept indicates the first point where the function crosses the x-axis, which can be important for understanding the function's behavior.

Front

If f(x) = x^2 - 4, what are the x-intercepts?

Back

The x-intercepts are found by solving x^2 - 4 = 0, which gives x = -2 and x = 2.

Front

What is the formula for the distance between two points on a number line?

Back

The distance between two points a and b on a number line is |a - b|.

Front

How can you determine if a function is increasing or decreasing?

Back

A function is increasing if its derivative is positive over an interval and decreasing if its derivative is negative.

Front

What is the relationship between the roots of a polynomial and its x-intercepts?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, which correspond to the x-intercepts of its graph.

Front

What does it mean for a function to have multiple x-intercepts?

Back

A function with multiple x-intercepts crosses the x-axis at more than one point, indicating that it has more than one solution for f(x) = 0.

Front

How do you graph a quadratic function?

Back

To graph a quadratic function, identify the vertex, axis of symmetry, and x-intercepts, then plot points and draw a parabola.