Identify the percent of change as an increase or a decrease. 1/4 to 1/2
2 answers:
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The domain and the range of an <em>exponential parent</em> function, that is, y = eˣ are equal to all <em>real</em> numbers and <em>non-negative</em> numbers, respectively. (Correct choice: C)
<h3>How to determine the domain and range of an exponential function</h3>
In this problem we should determine what an <em>exponential parent</em> function is. The most common <em>exponential</em> functions have the following form:
(1)
(1) is an <em>exponential parent</em> function for A = 1, B = 1 and C = 0.
All functions are relations with a domain and range, the domain is an <em>input</em> set related to the range, that is, an <em>output</em> set. In the case of an <em>exponential parent</em> function, the domain and the range of the expression are and y ≥ 0, respectively. (Correct choice: C)
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
Step-by-step explanation:
So, the function, P(t), represents the number of cells after t hours.
This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.
C)
So, we are given that the quadratic curve of the trend is the function:
To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:
Expand:
Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:
Differentiate. Use the power rule:
Simplify:
So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:
Multiply:
Subtract:
This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.
And we're done!