Answer:
B. f(x) = -x^3 - x^2 + 7x - 4
Step-by-step explanation:
For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.
For each of these equations, we will simply take the terms with the highest power and consider those. The two cases we need to consider is + infinite for x and - infinite for x. Let's check each of these equations.
Note, any value raised to an even power will be positive. Any negative value raised to an odd power will be negative.
<u>[A] - x^4</u>
<em>When x is +∞ --> - (∞)^4 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^4 --> f(x) is -∞</em>
<em />
<u>[B] - x^3</u>
<em>When x is +∞ --> - (∞)^3 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^3 --> f(x) is ∞</em>
<em />
<u>[C] 2x^5</u>
<em>When x is +∞ --> 2(∞)^5 --> f(x) is ∞</em>
<em>When x is -∞ --> 2(-∞)^5 --> f(x) is -∞</em>
<em />
<u>[D] x^4</u>
<em>When x is +∞ --> (∞)^4 --> f(x) is ∞</em>
<em>When x is -∞ --> (-∞)^4 --> f(x) is ∞</em>
<em />
Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).
Cheers.
Well you can find out by the question it's pretty easy....
you have to find the same x coordinates and then see what the difference is in the y coordinate. For example, (1,0), and (1,-5) the difference is -5. So for (-8,0), and (1,0) your answer would be (8,-5)
Answer:
<1= 60
<2=120
<3=60
<4=60
<5=120
<6=120
<7=60
Step-by-step explanation:
Hello! I believe that 630 would be the most appropriate answer! I hope I helped!
Answer:
9 mph
Step-by-step explanation:
-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:
#Since t is equal in both, we can do away with t.
#We the divide the downstream equation by the upstream equation as:
Hence, the boat's speed in still water is 9 mph
