The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real n
umbers. The range is {y|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.
2 answers:
Answer:
The domain is all real numbers. The range is {y|y ≤ 16}
Step-by-step explanation:
we have
This is a the equation of a vertical parabola open downward
The vertex is a maximum
The vertex is the point (-1,16)
see the attached figure
therefore
The domain of the function is all real numbers ----> interval (-∞,∞)
Te range of the function is
All real numbers less than or equal to 16 ----> interval (-∞,16]
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Answer:
Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.
Step-by-step explanation:
But, the shot is made before two tenths of a second or 0.2 seconds therefore modified equation for ball height is :
Now for the shot to be blocked,the height of shot blocker must be greater than the height of the ball which is shot before 0.2 seconds :
Hence, the shot was blocked between 0.84 and 0.85 seconds after the shot is launched.