1) The function is
3(x + 2)³ - 32) The
end behaviour is the
limits when x approaches +/- infinity.3) Since the polynomial is of
odd degree you can predict that
the ends head off in opposite direction. The limits confirm that.
4) The limit when x approaches negative infinity is negative infinity, then
the left end of the function heads off downward (toward - ∞).
5) The limit when x approaches positive infinity is positivie infinity, then
the right end of the function heads off upward (toward + ∞).
6) To graph the function it is important to determine:
- x-intercepts
- y-intercepts
- critical points: local maxima, local minima, and inflection points.
7)
x-intercepts ⇒ y = 0⇒ <span>
3(x + 2)³ - 3 = 0 ⇒ (x + 2)³ - 1 = 0
</span>
<span>⇒ (x + 2)³ = -1 ⇒ x + 2 = 1 ⇒
x = - 1</span>
8)
y-intercepts ⇒ x = 0y = <span>3(x + 2)³ - 3 =
3(0 + 2)³ - 3 = 0 - 3×8 - 3 = 24 - 3 =
21</span><span>
</span><span>
</span><span>9)
Critical points ⇒ first derivative = 0</span><span>
</span><span>
</span><span>i) dy / dx = 9(x + 2)² = 0
</span><span>
</span><span>
</span><span>⇒ x + 2 = 0 ⇒
x = - 2</span><span>
</span><span>
</span><span>ii)
second derivative: to determine where x = - 2 is a local maximum, a local minimum, or an inflection point.
</span><span>
</span><span>
</span><span>
y'' = 18 (x + 2); x = - 2 ⇒ y'' = 0 ⇒ inflection point.</span><span>
</span><span>
</span><span>Then the function does not have local minimum nor maximum, but an
inflection point at x = -2.</span><span>
</span><span>
</span><span>Using all that information you can
graph the function, and I
attache the figure with the graph.
</span>
Answer:
Step-by-step explanation: it will because it will divide it in two given those statements
Answer:
Ans. A) The annual rate that the company charged was 11.996%; B) if they charged you 11.186% annual rate, you would have to pay $41.14
Step-by-step explanation:
Hi, first we have to find out what is the effective 119 days rate and then turn it into an annual rate. This is as follows.

So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.

This means that the equivalent rate to 3.816% effective 119 days ys 11.996% effective annually (or just annual).
Now, if they were to charge you 11.186% annual, you would have to make this rate effective 119 days, and then, multiply it by the principal ($1,153). Let´s change the rate first.

And the money that you will have to pay in interest is $1,153*0.03568=$41.14
Best of luck
Answer:
Rational
Step-by-step explanation:
<u>Rational numbers:</u>
Rational numbers are such numbers that can be expressed in the form p/q, where the value of q must not be equivalent to 0.
<u>Irrational numbers:</u>
These numbers cannot be expressed in the form p/q, where the value of q must not be equivalent to 0. <u> </u>
![\implies 2.89 = \dfrac{289}{100} \ \ \text{[In} \ \frac{\text{p}}{\text{q}} \ \text{form (\text{q}} \neq 0)]}](https://tex.z-dn.net/?f=%5Cimplies%202.89%20%3D%20%5Cdfrac%7B289%7D%7B100%7D%20%5C%20%5C%20%5Ctext%7B%5BIn%7D%20%5C%20%20%5Cfrac%7B%5Ctext%7Bp%7D%7D%7B%5Ctext%7Bq%7D%7D%20%5C%20%5Ctext%7Bform%20%28%5Ctext%7Bq%7D%7D%20%5Cneq%200%29%5D%7D)
Thus, 2.89 is a rational number.
Answer:
i normally know these but i honestly dont know but can you please put branliest
Step-by-step explanation: