9514 1404 393
Answer:
y = -8x -15
Step-by-step explanation:
It can be useful to start with the point-slope form when you are given a point and a slope.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For the given line, this equation is ...
y +7 = -8(x +1)
y = -8x -8 -7 . . . . eliminate parentheses, subtract 7
y = -8x -15 . . . . . slope-intercept form
Answer:
Domain → (-∞, ∞)
Range → (-2, ∞)
Step-by-step explanation:
1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).
From the graph attached,
Function is defined for all real values of x.
Therefore, domain of the function will be (-∞, ∞).
On y-axis values of the function vary from -2 (excluding 2) to positive infinity.
Therefore, range of the function will be (-2, ∞).
2). Average rate of change of a function in the interval (a, b) is defined by,
Average rate of change =
By using this expression we can find the average rate of change in the given interval.
Please give the correct interval for which the average rate of change is to be calculated.
Answer:
neither
geometric progression
arithmetic progression
Step-by-step explanation:
Given:
sequences:
To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them
Solution:
A sequence forms an arithmetic progression if difference between terms remain same.
A sequence forms a geometric progression if ratio of the consecutive terms is same.
For :
Hence,the given sequence does not form an arithmetic progression.
Hence,the given sequence does not form a geometric progression.
So, is neither an arithmetic progression nor a geometric progression.
For :
As ratio of the consecutive terms is same, the sequence forms a geometric progression.
For :
As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.
