Answer:
Step-by-step explanation:
Knowing whether a function is even or odd helps you to graph it because that information tells you which half of the points you have to graph. These types of functions are symmetrical, so whatever is on one side is exactly the same as the other side. If a function is even, the graph is symmetrical about the y-axis. If the function is odd, the graph is symmetrical about the origin.
• Even function: The mathematical definition of an even function is f(–x) = f(x) for any value of x. The simplest example of this is f(x) = x2 because f(x)=f(-x) for all x. For example, f(3) = 9, and f(–3) = 9. Basically, the opposite input yields the same output.
Visually speaking, the graph is a mirror image about the y-axis, as shown here.
• Odd function: The definition of an odd function is f(–x) = –f(x) for any value of x. The opposite input gives the opposite output. These graphs have 180-degree symmetry about the origin. If you turn the graph upside down, it looks the same.
The example shown here, f(x) = x3, is an odd function because f(-x)=-f(x) for all x. For example, f(3) = 27 and f(–3) = –27.
Answer:
A. 24 lap/hour.
B. r = 24h
Step-by-step explanation:
Let r be the number laps.
Let h be the time.
From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:
r & h
r = Kh
Where:
r is the number of laps.
K is the constant of proportionality.
h is the time.
A. Determination of the constant of proportionality.
With the above formula, we can calculate the value of the constant of proportionality, K as follow:
Number of laps (r) = 12 laps
Time (h) = ½ hour
Constant of proportionality (K) =.?
r = Kh
12 = K × ½
12 = K/2
Cross multiply
K = 12 × 2
K = 24 lap/hour
Therefore, constant of proportionality is
24 lap/hour.
B. Equation for relationship between the number of lap and time. This is illustrated below:
r = Kh
K = 24
r = 24h
Therefore, the equation for relationship between the number of lap and time is r = 24h
Answer:
2
Step-by-step explanation:
The answer is "The graph is incorrect. He should have shaded ro the right"
Answer:
152.16 yd²
Step-by-step explanation:
2(8 x 5.6) + 2(8 x 2.3) + (2.3 x 8) = 152.16 yd²
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-Chetan K
