f(x) = x/5, what are the first five terms?

Understand the Problem

The question is asking for the first five terms of the function f(x) = x/5. To find these terms, we will substitute the first five integer values of x into the function.

Answer

The first five terms of the function $f(x) = \frac{x}{5}$ are $0$, $0.2$, $0.4$, $0.6$, and $0.8$.

Steps to Solve

Identify the values of x To find the first five terms of the function $f(x) = \frac{x}{5}$, we substitute the first five integer values of $x$: 0, 1, 2, 3, and 4.
Substitute each value into the function Now we will substitute each of these values into the function to find the corresponding output:

For $x = 0$: $$ f(0) = \frac{0}{5} = 0 $$
For $x = 1$: $$ f(1) = \frac{1}{5} = 0.2 $$
For $x = 2$: $$ f(2) = \frac{2}{5} = 0.4 $$
For $x = 3$: $$ f(3) = \frac{3}{5} = 0.6 $$
For $x = 4$: $$ f(4) = \frac{4}{5} = 0.8 $$

List the terms The first five terms of the function are now:

$f(0) = 0$
$f(1) = 0.2$
$f(2) = 0.4$
$f(3) = 0.6$
$f(4) = 0.8$

The first five terms of the function $f(x) = \frac{x}{5}$ are:

$0$
$0.2$
$0.4$
$0.6$
$0.8$

More Information

The function $f(x) = \frac{x}{5}$ represents a linear equation, and its output values increase steadily as $x$ increases. This function is a simple form of proportionality where the output is directly proportional to the input.

Tips

Misunderstanding the function: Some may forget that $x$ can include zero, thus neglecting $f(0)$.
Arithmetic errors: When calculating, it's easy to make mistakes with fractions, especially when dividing.

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