<h2>
Answer:</h2>
is the Square Root Function. These are the characteristics of the graph of the square root function:
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The domain of the function is the set of all non negative real numbers.
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The range of the function is the set of all non negative real numbers.
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The graph has an intercept at
.
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The graph is increasing on the interval
.
Since the function 
, then this stands for the form:
. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is 
while the blue one is 
The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3
Answer:
35.113 km per hour is the correct answer
