PC U3 L1-L4 Review

Front

What is the minimum point of a graph?

Back

The minimum point of a graph is the lowest point on the graph, where the function value is at its smallest. For example, in the graph given, the minimum is at (-0.5, -3.5).

Front

What does it mean for a graph to have an increasing interval?

Back

An increasing interval on a graph is a range of x-values where the function values are rising as x increases. This means that as you move from left to right on the graph, the y-values are getting larger.

Front

What is a jump discontinuity in a graph?

Back

A jump discontinuity occurs at a specific x-value where the graph 'jumps' from one value to another, meaning the function is not continuous at that point. For example, there is a jump discontinuity at x = -3.

Front

How do you determine the domain of a graph?

Back

The domain of a graph is the set of all possible x-values for which the function is defined. In the given graph, the domain is from x = 1 to x = 4.

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible y-values that the function can take. For the given graph, the range is -3 < y < 3.

Front

What is the significance of identifying the minimum point of a graph?

Back

Identifying the minimum point of a graph is important for understanding the behavior of the function, especially in optimization problems where you want to find the lowest value.

Front

How can you identify increasing and decreasing intervals on a graph?

Back

Increasing intervals can be identified where the slope of the graph is positive, while decreasing intervals are where the slope is negative. This can be determined by analyzing the graph or the derivative of the function.

Front

What is the difference between a continuous function and one with discontinuities?

Back

A continuous function has no breaks, jumps, or holes in its graph, while a function with discontinuities has points where the function is not defined or jumps abruptly.

Front

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

Back

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

Front

How do you find the range of a function graphically?

Back

To find the range of a function graphically, observe the highest and lowest points on the graph and note the y-values that the function takes on those x-values.