Graph of Cube Root {x}

Set 1.5
Question 40

See attachment.

Do (a), (b), and (c).

 

a) given => x=2

then => approximately y=1.3

b)
given => x=5

then
=> y=1.7 (approximately )

c)
given =>x=6.5

y= =>y= 1.9 (approximately )

 

Very good. Can this be done without a calculator? I don't think we had calculators 100 years ago.

 

it's hard to do it without a calculator because you need to find a number x which raised to the power of 3 equals 2
only possibility is to take guess of x which must be greater than 1 and less than 2

rule:

1. Estimate a number b
2. Divide a by b. If the number c returned is precise to the desired decimal place, stop.
3. Average b and c and use the result as a new guess
4. Repeat step two

 

In that case, I'll stick to the calculator.