Because you know the square root of 4, you can find that value in this case. You could also try other points, such as when x =. You can change the scale, but then our other values are very close together. Even with x as small as 2, the function value is too large for the axis scale you used before. Notice that the larger base in this problem made the function value skyrocket. If you think of f( x) as y, each row forms an ordered pair that you can plot on a coordinate grid. You can choose different values, but once again, it’s helpful to include 0, some positive values, and some negative values. This shows that all of the points on the curve are part of this function.
EXPONENTIAL FUNCTION GRAPH SERIES
Connect the points as best you can to make a smooth curve (not a series of straight lines). Now that you have a table of values, you can use these values to help you draw both the shape and location of the function. Think about what happens as the x values increase-so do the function values ( f( x) or y)! Note that your table of values may be different from someone else’s, if you chose different numbers for x. f(1) = 3 1 = 3, so 3 goes in the f( x) column next to 1 in the x column.
X = −2, f( x) = 3 -2 =, so goes in the f( x) column next to −2 in the x column. Tip: It’s always good to include 0, positive values, and negative values, if you can.Įvaluate the function for each value of x, and write the result in the f( x) column next to the x value you used.
Label the columns x and f( x).Ĭhoose several values for x and put them as separate rows in the x column. Make a “T” to start the table with two columns.
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