Which characteristic does the graph display?
1 answer:
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Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
a_15 = 90
a_n = 6n
Step-by-step explanation:
Given sequence is:
6, 12, 18, 24,...
First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,
The general form for arithmetic sequence is:
Putting the values for a_1 and d
<u>a) Find a15</u>
<u>b) Write an equation for the nth term.</u>
The equation is: a_n=6n
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
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