NC Math 3 EOC Review

Front

What is an increasing function?

Back

An increasing function is a function where, as the input (x) increases, the output (f(x)) also increases. In other words, if x1 < x2, then f(x1) < f(x2).

Front

How do you determine the intervals where a function is increasing?

Back

To determine the intervals where a function is increasing, find the derivative of the function. If the derivative is positive in an interval, the function is increasing in that interval.

Front

What does the notation [a, b] represent in interval notation?

Back

The notation [a, b] represents a closed interval that includes all numbers x such that a ≤ x ≤ b.

Tags

CCSS.6.EE.B.8

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, gives the distance of x from 0 on the number line, always resulting in a non-negative value.

Tags

CCSS.HSF-IF.C.7D

Front

How do you write an absolute value inequality?

Back

An absolute value inequality is written in the form |x - a| < b, which means the distance between x and a is less than b.

Front

What is the solution to the inequality |x - 30| ≤ 2?

Back

The solution to the inequality |x - 30| ≤ 2 is the interval [28, 32], meaning x can be any value from 28 to 32 inclusive.

Front

What does it mean for a function to be defined on an interval?

Back

A function is defined on an interval if it has a valid output (y-value) for every input (x-value) within that interval.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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 whether it opens upwards or downwards.

Front

How do you find the vertex of a quadratic function in standard form?

Back

For a quadratic function in standard form y = ax^2 + bx + c, the vertex can be found using the formula x = -b/(2a).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x) is associated with exactly one output (y). A relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1