Answer: a) zeros: x = {0, 4, -2}
b) as x → ∞, y → ∞
as x → -∞, y → ∞
<u>Step-by-step explanation:</u>
I think you mean (a) find the zeros and (b) describe the end behavior
(a) Find the zeros by setting each factor equal to zero and solving for x:
x (x - 4) (x + 2)⁴ = 0
- x = 0 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = 4 Multiplicity of 1 --> odd multiplicity so it crosses the x-axis
- x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis
Degree = 6
(b) End behavior is determined by the following two criteria:
- Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
- Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side
Sign of the leading coefficient is Positive so right side goes UP
as x → ∞, y → ∞
Degree of 6 is Even so Left side is the same direction as right (UP)
as x → -∞, y → ∞
C.
No value of x has two values of y, thus it is a one-to-one function.
Answer:
4.8 megabytes / minute.
Step-by-step explanation:
At the beginning of recording the download you have 24 megabytes.
15 minutes later, you have 96 megabytes.
In 15 minutes you have downloaded 96 - 24 = 72 megabytes
So the question turns out to be a proportion of
x megabytes / 1 minute = 72 megabytes / 15 minutes.
x = 72/15
x = 4.8 megabytes / minute
Answer: F) 7 mph
<u>Step-by-step explanation:</u>
The line you drew is correct but you read the graph wrong.
The line drawn from 15 hours of training (bottom axis) meets the "line of best fit" at the average running speed (left axis) between 6 and 8, which is 7.
