We have to select all of the transformations that could change the location of the asymptotes of a cosecant of secant function.
So given function can be written as:
y=csc( sec(x))
First we need to determine the location of asymptote which is basically a line that seems to be touching the graph of function at infinity.
From attached graph we see that Asymptotes (Green lines) are vertical.
So Vertical shift or vertical stretch will not affect the location of asymptote because moving up or down the vertical line will not change the position of any vertical line.
only Left or right side movement will change the position of vertical asymptote. Which is possible in Phase shift and period change.
Hence Phase shift and Period change are the correct choices.
Answer:
(c) y -2 = 6/5(x -1)
Step-by-step explanation:
The equations are all in point-slope form with a slope of 6/5. The points used are (-1, -2), (-2, -1), and (1, 2). It seems point (1, 2) best matches a point on the graphed line. Choice C is the best. (In the attached graph, choice C is the red line.)
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<em>Additional comment</em>
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
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The equation might be easier to see if the point chosen were one at a grid intersection, such as (-4, -4) or (6, 8).
Answer:
I think it would be 3y+3y-12 because 6y=3y+3y
Step-by-step explanation:
Answer:
-infinity < y ≤ 2
Step-by-step explanation:
A is correct. The largest value y can have is 2, whereas there is no smallest value. -infinity < y ≤ 2
Answer:
Tuesday's Z-score is 7.56
Step-by-step explanation:
We are given that a department store, on average, has daily sales of 28,651.79 and the standard deviation of sales is $1000.
Also, it is given that on Tuesday, the store sold $36,211.08 worth of goods.
Let X = Daily sales of goods
So, X ~ N(
)
The z-score probability distribution is given by;
Z =
~ standard normal N(0,1)
Now, Tuesday,s Z-score is given by;
Z =
= 7.56
Yes, Tuesday was an unusually good day as on this day more worth of sales takes place as compared to the average daily sales of $28,651.79 .