Answer:
- 0.85c
- one is the cost; the other is the discount
Step-by-step explanation:
a) As a fraction of the original price Louisa will pay ...
0.85c . . . . 85% of the subscription price
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b) Louisa's expression (-0.15c) tells the amount of the discount, not the cost of the subscription. If Louisa were to write the cost of the subscription, her expression would be ...
c - 0.15c
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c) The expression of (a) is the cost of the subscription; the expression Louisa wrote is the amount of cost reduction due to the discount.
Answer:
{x| x is a real number}
Step-by-step explanation:
f(x) is defined for all values of x, so the domain is ...
{x| x is a real number}
Answer:
No, they are not. While they are similar terms, they do not have the same values within the terms. Like how 3 is not -2.
Your function f(x)=(x^(1/3))(x+4)
What your going to want to do first is calculate your first derivative.
You will want to use both the power rule and the product rule.
f '(x)=(x+4)/x^(2/3)+x^(1/3)
f '(x)=4/3(x^(-2/3))(x+1)
Now find the critical numbers
4/3(x^(-2/3))=0 x+1=0
x=0, x=-1
Now plug numbers on the intervals (-infinity, -1),(-1,0) and (0,infinity) into the derivative of your function. The numbers I would choose are -2, -1/2 and 1.
Since f '(-2) is negative, f '(-1/2) is positive and f '(1) is positive, (-1,-3) and (1,5) are relative extrema. This means that the function f(x)=(x^(1/3))(x+4) is increasing on the interval (-1,0) U (0,infinity).
