Question

1. \( y=x^{2}-2 x+1 \) 2. \( y=3 x^{3}+2 x^{2}+x \) (a) \( x \)-intercept: (a) \( x \)-intercept: (b) \( y \)-intercept: (b) \( y \)-intercept: (c) Domain: \( x \in(-\infty, \infty) \) (c) Domain: (d) Range: (d) Range: (e) \( x \rightarrow \infty \) (e) \( x \rightarrow \infty \) (f) \( x \rightarrow-\infty \) (f) \( x \rightarrow-\infty \) (g) Local maxima: (g) Local maxima: (h) Global maxima: (h) Global maxima: (i) Local minima: (i) Local minima: (j) Global minima: (j) Global minima: (k) Avg. ROC \( 0<x<2 \) : (k) Avg. ROC \( -4<x<4 \) : 1

          1. \( y=x^{2}-2 x+1 \)
2. \( y=3 x^{3}+2 x^{2}+x \)
(a) \( x \)-intercept:
(a) \( x \)-intercept:
(b) \( y \)-intercept:
(b) \( y \)-intercept:
(c) Domain: \( x \in(-\infty, \infty) \)
(c) Domain:
(d) Range:
(d) Range:
(e) \( x \rightarrow \infty \)
(e) \( x \rightarrow \infty \)
(f) \( x \rightarrow-\infty \)
(f) \( x \rightarrow-\infty \)
(g) Local maxima:
(g) Local maxima:
(h) Global maxima:
(h) Global maxima:
(i) Local minima:
(i) Local minima:
(j) Global minima:
(j) Global minima:
(k) Avg. ROC \( 0<x<2 \) :
(k) Avg. ROC \( -4<x<4 \) :
1

1. y=x^2-2 x+1
2. y=3 x^3+2 x^2+x
(a) x-intercept:
(a) x-intercept:
(b) y-intercept:
(b) y-intercept:
(c) Domain: x ∈(-∞, ∞)
(c) Domain:
(d) Range:
(d) Range:
(e) x →∞
(e) x →∞
(f) x →-∞
(f) x →-∞
(g) Local maxima:
(g) Local maxima:
(h) Global maxima:
(h) Global maxima:
(i) Local minima:
(i) Local minima:
(j) Global minima:
(j) Global minima:
(k) Avg. ROC 0<x<2 :
(k) Avg. ROC -4<x<4 :
1

Added by Samaria B.

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