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What’s the range?
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EzraThe 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.
To determine the range of a function from a graph, we look at the vertical spread of the graph. The range is the set of all possible output values of the function. In this case, the range appears to be from -2 to 4, inclusive. This means that the function outputs values between -2 and 4, including -2 and 4.
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How can you tell if a graph is a function?
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is 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.
How do vertical transformations differ from horizontal transformations?
In vertical transformations every point on a graph is shifted upwards by a fixed number of points. In a horizontal transformation, every point on a graph is shifted along the x-axis a certain number of points.
what will happen if the current is plotted in the X-axis?
If current is plotted on the X-axis in a graph, it will be the independent variable, meaning that changes in current will be shown along the X-axis. This can help visualize how changes in current affect other variables plotted on the Y-axis, providing insights into the relationship between current and the dependent variable.
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.
