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Mathematics
Problem
Use technology to sketch these functions on their given domain. Locate the points at the end(s) of the domain, as well as any turning points. Hence state the range of the function. a.
y
=
−
x
4
+
2
x
3
+
5
x
2
+
x
+
2
,
0
≤
x
≤
4
y = -x^4 + 2x^3 + 5x^2 + x + 2, \quad 0 \le x \le 4
y
=
−
x
4
+
2
x
3
+
5
x
2
+
x
+
2
,
0
≤
x
≤
4
b.
y
=
−
2
x
4
+
5
x
2
+
x
+
2
,
−
2
≤
x
≤
2
y = -2x^4 + 5x^2 + x + 2, \quad -2 \le x \le 2
y
=
−
2
x
4
+
5
x
2
+
x
+
2
,
−
2
≤
x
≤
2
c.
y
=
1
1
+
2
−
x
,
x
>
0
y = \frac{1}{1+2^{-x}}, \quad x > 0
y
=
1
+
2
−
x
1
,
x
>
0
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