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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.
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EzraTo 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?
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.
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.
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.
