Answer:
The interval is [4,7]
Step-by-step explanation:
The rate of change is given by
f(x2) - f(x1)
-------------------
x2 -x1
We want the rate of change to be 56
f(x2) - f(x1)
------------------- = 56
x2 -x1
We also know that the x2 is 7 so f(x2) = 192
192 - f(x1)
------------------- = 56
7 -x1
192 - f(x1) = 56( 7 -x1)
192 - f(x1) = 392 -56x1
Now we need to pick points from the table and see where it is true
(6,96)
192 - 96 = 392 -56*6
96=56 False
( 5,28)
192 - 28 = 392 -56*5
164=112 False
(4,24)
192 - 24 = 392 -56*4
168=168 True
The interval is [4,7]
<u>Given</u> :
<u>Subtract 5 from each side</u> :
<u>Take the root on each side</u> :
<u>Hence, the values of x are</u> :
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The equation for the vertical translation of y=f(x). 2 units up is y=f(x)+2.
Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of transformations/modifications to change it to the desired function.
A point on the graph of y=f(x) has the shape (x,f(x)).
The points on the graph of y=f(x)+2 are of the form (x,f(x)+2).
So, the graph for y=f(x) +2 is the same as the graph for y=f(x) shifted up by 2 units.
The new equation is:
y=f(x)+2
More problems related to the translation of shapes are given below.
brainly.com/question/12463306?referrer=searchResults
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