Topic 2A Test Prep #1

Front

What is a negative interval in mathematics?

Back

A negative interval is a range of values that are less than zero. For example, the interval (−∞, -3) ∪ (-1, ∞) includes all numbers less than -1.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function intersects the y-axis. It is represented as (0, b) where b is the value of the function when x = 0.

Front

What is a positive interval in mathematics?

Back

A positive interval is a range of values that are greater than zero. For example, the interval (-3, -1) includes all numbers between -3 and -1.

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function intersects the x-axis. It is represented as (a, 0) where a is the value of the function when y = 0.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

Define the term 'interval of increase'.

Back

The interval of increase is the range of x-values over which a function's output values (y-values) are increasing.

Front

What is the notation for union of intervals?

Back

The union of intervals is denoted by the symbol '∪'. For example, the union of intervals (−∞, -3) and (-1, ∞) is written as (−∞, -3) ∪ (-1, ∞).

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept from a linear equation in the form y = mx + b, set x = 0. The value of y at this point is the y-intercept.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept indicates the value of x when the output of the function (y) is zero. It shows where the graph crosses the x-axis.

Front

What is the difference between open and closed intervals?

Back

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