By evaluating the quadratic function, we will see that the differential quotient is:

<h3>
How to get (f(2 + h) - f(2))/h?</h3>
Here we have the quadratic function:

Evaluating the quadratic equation we get:

So we need to replace the x-variable by "2 + h" and "2" respectively.
Replacing the function in the differential quotient:

If we simplify that last fraction, we get:

The third option is the correct one, the differential quotient is equal to 8 + 4.
If you want to learn more about quadratic functions:
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No x intercept because there is no solution
Answer:
A. y = 3x/4
Step-by-step explanation:
a proportional relationship between x and y is a straight line passing through the origin (0, 0).
The equation must be in the form y = kx.
y = 3x/4
y = 3/4x
·_21.21
25l546. 25 goes into 54 twice with a remainder of 4
l50↓
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l 46 25 goes into 46 once with 21 left
l 25
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21