Question - Determining the Range of a Function Graph
Solution:
To find the range of the function graphed on the coordinate plane, you want to determine the set of all possible output (y) values that the function can produce.By observing the graph, you can see that the function reaches a highest point (the vertex of the parabola) at y = 5 and it does not go above this value. The graph continues indefinitely towards the x-axis but doesn't actually reach it, meaning it approaches but never touches or crosses the x-axis, suggesting that the range includes all y-values less than 5 but not including 5.Therefore, the range of the function is:y < 5This can also be represented using interval notation as:(-∞, 5)
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