What is the difference between a relation and a function in mathematics?

1 answer:

6 0

A relation are two sets of elements noted as input and output. Within relations, the input and the output have something in common.

A function is also about input and output but in a function, the input has nothing in common with the output.

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In the month of October, the population of a species of fish in a river increased by a factor of 1.05 every day. The function be

Solnce55 [7]

I don’t know but I hope you have a good day

7 0

3 years ago

What are the two possible answers for the equation Ix/5I = 3?

bagirrra123 [75]

Answer:

Either $x = -15$ or $x = 15$ .

Step-by-step explanation:

$|x| = \left\lbrace \begin{aligned} & x && \text{if $x \ge 0$} \\ & -x && \text{if $x < 0$}\end{aligned}\right.$ .

Hence, there are two possibilities to consider:

Either $(x / 5) \ge 0$ ,
Or $(x / 5) < 0$ .

If $(x / 5) \ge 0$ , then $|x / 5| = x / 5$ .

Substitute into the original equation: $x/ 5= 3$ . Solve for $x$ : $x = 15$ .

Important: verify that the solution $x = 15$ meet the assumption $(x / 5) \ge 0$ . Indeed, $(x / 5) = (15 / 5) = 3$ and is indeed non-negative. Hence, the solution $x = 15\!$ is valid.

On the other hand, if $(x / 5) < 0$ , then $|x / 5| = - x / 5$ .

Substitute into the original equation: $(-x / 5) = 3$ . Solve for $x$ : $x = -15$ .

Similarly, verify that the solution $x= - 15$ satisfies the current assumption that $(x / 5) < 0$ . Indeed, this assumption is met, and $x = -15$ is also a valid solution.