Convert all fractions to improper, then multiply numerators, multiply denominators. You get 180/240, which reduces to 3/4 cubic meter.
Answer:
Yes. the relation is a function
Step-by-step explanation:
Here, we want to check if the relation is a function
if a relation is a function, then every x-values (input values) will have one y-value
No two output values (y values) will have a single x value
Looking at the pairs;
It is a function
Although two x values have same y value; 2 and 3 to 8; no two y values have same x value
Hence, the ordered pairs is a function
Answer is:
y = 2|x - 3|
when x = 3, y = 0 so (3,0)
when x = 2, y = 2(1) = 2 ; (2, 2)
when x = 4, y = 2(1) = 2; (4, 2)
The functions are:
i)

ii)

.
We note that both Sin and Cos functions cannot produces values smaller than -1, or larger than 1.
In other words, the range of both these functions is [-1, 1].
Whatever expression A is, sin(A) and cos(A) are values in [-1, 1].
Assume

produced its maximal value, 1, then

makes this value 3.
Thus, the maximum value of g(x) is 3, as can be also seen in the graph.
Similarly, assume cos(x) produced 1, then 2cos(x) makes it 2. Thus, the greatest value of f(x) is 2.
Answer: max{f(x)}=2, max{g(x)}=3, so g has the largest maximal value.