Answer:


Step-by-step explanation:
One is given the following function:

One is asked to evaluate the function for
, substitute
in place of
, and simplify to evaluate:



A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

Where (
) is the evaluator term (
) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,



Answer:
Graph is attached below
Step-by-step explanation:
Intercepts are values of x and y at which the graph of the function intersects coordinate axis.
Given equation,

For x-intercept,
y = 0,



Thus, x-intercept is at (-6, 0)
For y-intercept,
x = 0,

Thus, y-intercept is at (0, -3)
Now, join these two points to show the line in coordinate plane.
Here is the answer. Just click on the photo below. Hope this helps!
Answer:
B
Step-by-step explanation:
Lines M and L intersect at point B
Step-by-step explanation:
We have,
![f(x) = - 2 \sqrt[3]{x + 7}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20-%202%20%5Csqrt%5B3%5D%7Bx%20%2B%207%7D%20%20)
Taking limit,
![\lim _{x \rarr \infty } f(x) \\ = \lim _{x \rarr \infty } - 2 \sqrt[3]{x + 7}](https://tex.z-dn.net/?f=%20%5Clim%20_%7Bx%20%5Crarr%20%5Cinfty%20%7D%20f%28x%29%20%5C%5C%20%20%3D%20%20%5Clim%20_%7Bx%20%5Crarr%20%5Cinfty%20%7D%20-%202%20%5Csqrt%5B3%5D%7Bx%20%2B%207%7D%20)
If x approaches to positive infinity,
this implies f(x) approaches to negative infinity