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Oh, dude, there are like a ton of boxes on graph paper. I mean, it totally depends on the size of the paper, right? But typically, there are like a bazillion little squares on there to help you draw your graphs and stuff. So, like, just grab a piece and start counting if you're really curious, or just trust me that there are a whole bunch.
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How can you tell if a graph is a function?
A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not a function.
Is a piecewise graph a function?
Yes, a piecewise graph can represent a function as long as each piece of the graph passes the vertical line test, meaning that each vertical line intersects the graph at most once. This ensures that each input has exactly one output value.
What kind of graph would you use to show the ages of kids in a class room?
A bar graph or histogram would be suitable to show the distribution of ages of kids in a classroom. Each bar or column would represent a specific age group, making it easy to compare the different age ranges within the class.
What is the range of the function shown on the graph?
The range of a function is the set of Y values where the equation is true. Example, a line passing through the origin with a slope of 1 that continues towards infinity in both the positive and negative direction will have a range of all real numbers, whereas a parabola opening up with it's vertex on the origin will have a range of All Real Numbers such that Y is greater than or equal to zero.
How do vertical transformations differ from horizontal transformations?
Vertical transformations involve shifting the graph up or down, affecting the y-values, while horizontal transformations involve shifting the graph left or right, affecting the x-values. Vertical transformations are usually represented by adding or subtracting a value outside of the function, while horizontal transformations are represented by adding or subtracting a value inside the function.
