Does this graph represent a function? Why or why not?
1 answer:
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The attached graph represents the graph of f(x) = (x - 1)^2 - 2
<h3>How to plot the graph?</h3>The equation is given as:
f(x) = (x - 1)^2 - 2
Next, we set x to -2, -1, 0, 1 and 2.
So, we have:
f(-2) = (-2 - 1)^2 - 2 = 7
f(-1) = (-1 - 1)^2 - 2 = 2
f(0) = (0 - 1)^2 - 2 = -1
f(1) = (1 - 1)^2 - 2 = -2
f(2) = (2 - 1)^2 - 2 = -1
This means that the table of values is
x f(x)
-2 7
-1 2
0 -1
1 -2
2 -1
Next, we plot the above points and connect them.
See attachment for the graph of f(x) = (x - 1)^2 - 2
Read more about graphs and functions at:
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Simplest polynomial function is
Solution:
Given data:
Zeroes are 3i, –1, 2.
3i is a complex root of the function.
If 3i is a zero of the polynomial then –3i is also a zero of the polynomial.
Therefore zeroes are 3i, –3i –1, 2.
By factor theorem,
If a is zero of the function, then (x – a) is a factor of the polynomial.
So, the factors are (x – 3i), (x + 3i), (x + 1), (x –2).
On multiplying the factors, we get the polynomial.
Since the value of
Simplest polynomial function is