Instruction
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Writing a Function
Andrea condicis a science expenment and observes that the height of a plant depends on the amount of sunlight it
receives The plant's height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the
number of hours of sunlight is represented by the variables, which function can represent the height of the plant?
(h) 00041 -37
| Kh) 3/h + O 004
Re) 0 0045 + 37

Step-by-step explanation:

In order for the limit to exist in a piecewise function, both the right-side and left-side limits must be equal to each other:

So, if we plug in x=-1 for the left side limit, we get 2cos(πx) = 2cos(π(-1)) = 2cos(-π) = 2(-1) = -2Plugging in x=-1 for the right-side limit, we get 2/cos(πx) = 2/cos(π(-1)) = 2/cos(-π) = 2/(-1) = -2Since both the right-side and left-side limits are equal to each other, we can say that the limit of f(x) as x approaches -1 from the left side is -2, therefore the limit existsSee the attached graph