Use the graph of the function f to determine the given limit.
picture below

Option: a is correct.

Limit of the function at x=2 is: 2

Step-by-step explanation:

Clearly by looking at the graph of the function we could observe that the function f(x) is defined as:

f(x)=  -x+4   when x≠4

and    8 when x=2

since we could see that the function f(x) is a line segment that passes through the point (4,0) and (0,4).

and the equation of line passing through two points (a,b) and (c,d) is given by:

Here a,b)=(4,0) and (c,d)=(0,4)

Hence,

the equation of line is:

Now the left hand limit of the function at x=2 is:

Similarly the right hand limit of the function at x=2 is:

Hence, the limit of the function at x=2 is:

2

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75