SOLUTION: y=4*4^x match function rule with the graph function

Question 399079: y=4*4^x
match function rule with the graph function
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

First let's cahnge this into a more helpful form. Since we can write this as:

And the rule for exponents when multiplying is to add the exponents. So we can write this as:

or, since addition is Commutative:

In this form we can tell how the graph of this function will be different from the graph of the "base" function, . The graph of is:

NOTE: The graph looks like it touches the x-axis. This is due to a weakness/flaw in Algebra.com's graphing software. The actual graph never touches the x-axis. It approaches the x-axis as an asymptote.

The graph of your equation, is the same as the graph above except everything is moved to the left by 1 unit (because of the "+1". (Your graph also approaches the x-axis as an asymptote.)
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