Given the following absolute value function sketch the graph of the function and find the domain and range.
1 answer:
Step-by-step explanation:
The given absolute value expression is
This absolute value function is of the form
where (h,k)=(-3,-1) is the vertex.
This function opens upwards, hence the the minimum point is (-3,-1)
The domain is the values of x for which the function is defined.
The domain is all real numbers.
The range is the values of y for which x is defined.
The is y≥-1 because the minimum value is -1.
The graph is shown in attachment.
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Answer: The answer is 381.85 feet.
Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.
This situation is framed very nicely in the attached figure, where
BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?
From the right-angled triangle WGB, we have
and from the right-angled triangle WAB, we have'
Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.
Thus, the height of the building across the street is 381.85 feet.
