SOLUTION: I'm supposed to graph functions and I forget how. 1/3•3 to the power of x.

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Question 767085: I'm supposed to graph functions and I forget how. 1/3•3 to the power of x.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


All functions of an independent variable in can be graphed using the same process.

Step 1: Pick a value for and substitute it into the function in place of wherever it occurs.

Step 2: Do the indicated arithmetic to determine the value of the function, , that results.

Step 3: Create an ordered pair using the value of you selected in step 1 and the value of you calculated in step 2.

Step 4: Plot the point on an appropriately scaled coordinate plane.

Step 5: Repeat steps 1 through 4 using a different value of each time, a sufficient number times to develop a general idea of the shape of the curve. For your problem, I would use the following set of values: -3, -2, -1, 0, 1, 2, 3, 4. Don't forget that a negative exponent means the reciprocal, that is

If you do it correctly, you should have a curve that takes off quickly in a positive direction as gets larger in a positive direction, and is asymptotic to the -axis as gets small.

John

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