Figure 2.23 shows the graph of the polynomial `f(x)=a x^2+b x+c` for which (FIGURE) (a) `a<<0,\ \ b>>0\ a n d\ c >0` (b) `a<0,\ b<<0\ a n d\ c>>0` (c) `a<0,\ b<0\ a n d\ c<0` (d) `a >0,\ b >0\ a n d\ c<0`

Figure 2.23 shows the graph of the polynomial f(x)=a x^2+b x+c for which (FIGURE) (a) a<<0, b>>0 a n d c >0 (b) a<0, blt0 and cgt0 (c) a<0, b<0 a n d c<0 (d) a >0, b >0 a n d c<0

The given figure shows the graph of the polynomial f(x)=ax^2+bx+c , then (1)    a>0 , b 0 (2)    a>0 , b (3)    a 0 and c>0 (4)    a 0 and c<0

If fig shows the graph of f(x)=ax^(2)+bx+c, then Fig ac 0 c.ab>0 d.abc<0

If alpha,beta are the zeros of the polynomial f(x)=x^(2)-p(x+1)-c such that (alpha+1)(beta+1)=0, then c=( a )1(b)0(c)-1(d)2

If a\ a n d\ b are two numbers such that a b\ =\ 0 , then (a) a\ =\ 0\ a n d\ b\ =\ 0 (b) a\ =\ 0\ or\ b\ =\ 0 (c) a\ =\ 0\ a n d\ b!=0 (d) b\ =\ 0\ a n d\ a!=0

which of the following graph represents the expression f(x)=ax^(2)+bx+c(a!=0) when a>0,b<0$c<0?

Let f,\ g\ a n d\ h be real-valued functions defined on the interval [0,\ 1] by f(x)=e^x^2+e^-x^2,\ g(x)=x e^x^2+e^-x^2\ a n d\ h(x)=x^2e^x^2+e^-x^2 . If a , b ,\ a n d\ c denote respectively, the absolute maximum of f,\ g\ a n d\ h on [0,\ 1], then a=b\ a n d\ c!=b (b) a=c\ a n d\ a!=b a!=b\ a n d\ c!=b (d) a=b=c

If the equation f(x)= ax^2+bx+c=0 has no real root, then (a+b+c)c is (A) =0 (B) gt0 (C) lt0 (D) not real

For questions 13-14: The accompanying figure shows the graph of a function f(Cr) with domain [O, 2] and range [0, 1] 2 Figure I Figure II Q13) Figure II represents the graph of A. 2f(x) B. f(r-2) C. f(x + 2) D. f (x -2)+ 1 Q14) The domain and range respectively of A. f(-x) are [- 2, 0] and -1,0] B. f(x)-1 are [0, 2] and [0, 1] C. f(x) + 2 are [0, 2] and [1, 2] D. -ft+1)+ 1 are [-1, 1] and [0, 1] x +1+ 1 are