The given function are
r(x) = 2 - x² and w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
= 2x - x³ - 4 + 2x²
∴ <span>
(w*r)(x) = -x³ + 2x² + 2x - 4</span>
<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)
See the attached figure which represents the table and the graph of <span>(w*r)(x)
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As shown in the graph the range of <span>
(w*r)(x) is (-∞,∞)</span>
Since it’s vertical it would be x=-7
Answer:
C
Step-by-step explanation:
Hope this Helps :)
Answer:
(-1,-9)
Step-by-step explanation:
(5,-2)
-5 -4 -3 -2 <em><u>-1</u></em> 0 1 2 3 4 <u>5</u>
starting at 5, move 6 units to the left, your new x-coordinate is -1
<u>-2</u>
-3
-4
-5
-6
-7
-8
<em><u>-9</u></em>
starting at -2, move 7 units down, your new y-coordinate is -9
The new point after the translation will be (-1,-9)