Rationalize the numerator:
This is continuous at , so we can evaluate the limit directly by substitution:
i need help with simplifying fractions only the top ones i will do the making of a decimal or ill ask the question later
1 answer:
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Answer:
Step-by-step explanation:
Given
See attachment for dot plot
Required
The center of data
This implies that, we calculate the median
From the attached plot,
--- number of observation
So, the median is:
The median is at the 7th position
At the 7th position, is 13
Hence:
Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
