Answer:
The answer to your question is letter C
Step-by-step explanation:
Data
f(1) = 6
f(n) = 1/3f(n - 1)
The first five terms
2nd term = f(2) = 1/3 (2 - 1) = 1/3(1) = 1/3 6 + 1/3 = 6 1/3
3rd term f(3) = 1/3(3 - 1) = 1/3(2) = 2/3 6 + 2/3 = 6 2/3
4th term f(4) = 1/3(4 - 1) = 1/3(3) = 3/3 = 1 6 + 1 = 7
5th term f(5) = 1/3 (5 - 1) = 1/3(4) = 4/3 6 + 4/3 = 6 4/3
Odd functions are those that satisfy the condition
f(-x)=-f(x)
For example, check if x^3 is odd =>
f(x)=x^3
f(-x) = (-x)^3
-f(x)=-x^3
Since (-x)^3=-x^3, we see that f(x)=x^3 is an odd function.
In fact, polynomials which contain odd-powered terms only are odd. (constant is even)
As an exercise, you can verify that sin(x) is odd, cos(x) is even.
On graphs, odd functions are those that resemble a 180 degree rotation.
Check with graphs of above examples.
So we identify the first graph (f(x)=-x^3) is odd (we can identify a 180 degree rotation)
Odd functions have a property that the sum of individually odd functions is
also odd. For example, x+x^3-6x^5 is odd, so is x+sin(x).
For the next graph, f(x)=|x+2| is not odd (nor even) because if we rotate one part of the graph, it does not coincide with another part of the graph, so it is not odd.
For the last graph, f(x)=3cos(x), it is not odd, again because if we rotate about the origin by 180 degrees, we get a different graph. However, it is an even function because it is symmetrical about the y-axis.
Answer:
The answer is correct: radians -1.7pi is -306 °
Step two shows the step where he applied the distributive property.
This is because he distributed the terms in the first bracket with the terms in the second bracket
Answer:
y=-x+2
Step-by-step explanation:
Y intercept = 2
Slope = -1/1 = 1
y=-1x+2
Simplified
y=-x+2
