Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively. Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:

a) $f(x) = \sqrt[3]{x + 7} + 3$

b) $f(x) = \sqrt[3]{x - 3} - 7$

c) $f(x) = \sqrt[3]{x - 3} + 7$

d) $f(x) = \sqrt[3]{x - 7} + 3$

So d is the correct answer.

6 0

3 years ago

What is the quotient of -18 divided by [-1/6]

Sloan [31]

18?
-18 divided by [-1/6]
is 18
hopefully that's what you were looking for.?!!

4 0

2 years ago

Read 2 more answers

(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 Correct

Luba_88 [7]

Splitting up the interval of integration into $n$ subintervals gives the partition

$\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]$

Each subinterval has length $\dfrac{1-0}n=\dfrac1n$ . The right endpoints of each subinterval follow the sequence

$r_i=\dfrac in$

with $i=1,2,3,\ldots,n$ . Then the left-endpoint Riemann sum that approximates the definite integral is

$\displaystyle\sum_{i=1}^n\frac{{r_i}^3}n$

and taking the limit as $n\to\infty$ gives the area exactly. We have

$\displaystyle\lim_{n\to\infty}\frac1n\sum_{i=1}^n\left(\frac in\right)^3=\lim_{n\to\infty}\frac{n^2(n+1)^2}{4n^3}=\boxed{\frac14}$

6 0

2 years ago