The function `f(x)=5*(4/5)^x` is an exponential function with a base of 4/5. Exponential functions with a base less than 1 decay, so the graph of this function will approach zero as x increases.
To graph the function, we can start by plotting a few key points. The following table shows some key points for the function `f(x)=5*(4/5)^x`:
| x | f(x) |
|---|---|
| 0 | 5 |
| 1 | 4 |
| 2 | 3.2 |
| 3 | 2.56 |
| 4 | 2.048 |
We can then plot these points on a graph and connect them with a smooth curve.
The graph shows that the function decays exponentially as x increases. The function also approaches zero as x increases.
Learn more about exponential function here:
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Step-by-step explanation:
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Negative Reciprocal (definition and example) -
Parallel (definition and a real world example) -
Answer:
2 is the exponent
Step-by-step explanation:
Given is an equation as
and we have to find the exponent m
Since 64 and 81 are prime to each other we cannot simplify the fraction.
We find that both 64 and 81 are perfect squares of 8 and 9 respectively
Hence we write
Comparing m =2