Mathematics of inequality
1 answer:
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Answer:
Explanation:
The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.
Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.
The limits of the quadratic function of general form as x approaches negative infinity or infinity, when
is positive, are infinity.
That is because as the absolute value of x gets bigger y becomes bigger too.
In mathematical symbols, that is:
Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².
Two examples are:
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )
m = =
=
= - 1 → A