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nexus9112 [7]
3 years ago
15

What is the range of function f(x)=1/2sqrtx?

Mathematics
1 answer:
enyata [817]3 years ago
4 0
X cannot be negative as a negative value has no square root 
range is  0=< x < infinity
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"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

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t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

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t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

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Answer: 3.8 seconds


     

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