quadratic function

The set:

 $<-2,+\infty\$  )  is the range of:

•  $f\left(x\right)=-2\left(x-3\right)^2-2$  

•  $f\left(x\right)=2\left(x-3\right)^2-2$  

•  $f\left(x\right)=-2\left(x+3\right)^2+2$  

•  $f\left(x\right)=2\left(x+3\right)^2+2$  

 The quadratic equation

 $x^2-cx+4=0,\ \ c\in R$  has exactly one solution if and only if:

•  $c\ne4$  

•  $c\in R-\left\{-4,4\right\}$  

•  $c=4$  

•  $c\in\left\{-4,4\right\}$  

The smallest value of the function    $f\left(x\right)=2\left(x-3\right)\left(x-5\right)\$   in the interval  $<-6,4>$  is:

Zeros of a quadratic function   $y=f\left(x\right)$  are numbers:  $2,-4$  and its graph goes through the point  $P=\left(-2,-8\right)$ . Its formula is:

•  $f\left(x\right)=2\left(x+1\right)^2-9$  

•  $f\left(x\right)=2\left(x-2\right)^2+8$  

•  $f\left(x\right)=-\left(x-2\right)^2-8$  

•  $f\left(x\right)=\left(x+1\right)^2-9$  

The graph of the function   $f\left(x\right)=ax^2+bx+c,\ \ \ a\ne0$  is thown on the picture.  Then:

•  $a<0,\ b<0,\ c>0$  

•  $a>0,\ b<0,\ c>0$  

•  $a<0,\ b>0,\ c>0$  

•  $a<0,\ b>0,\ c<0$  

The quadratic function:   $f\left(x\right)=2x^2+x-5\$  has two zeros:  $x_1,\ \ x_2$  . Then:

•  $x_1^2+x_2^2=5,25$  

•  $x_1^2+x_2^2=\frac{2\sqrt{41}}{3}$  

•  $x_1^2+x_2^2=12-\sqrt{41}$  

•  $x_1^2+x_2^2=4,5$  

The equation   $x^2-cx+9=0$  has no solutions if and only if:

•  $c\in\left(-\infty,-6\right)\cup\left(6,+\infty\right)$  

•  $c\in\left(-6,6\right)$  

•  $c\in\left(-\infty,-6>\cup<6,+\infty\right)$  

•  $c\in<-6,6>$  

The solution of the inequality: $x^2+2x+1>0$  is:

•  $\phi$  

•  $R-\left\{-1\right\}$  

•  $\left(-\infty,1\right)\cup\left(1,+\infty\right)$  

•  $R$  

 $f\left(x\right)=-x\left(x-4\right)$  is:

The range of the function

• ( $-\infty,-4$  >

• ( $-\infty,2$  >

• ( $-\infty,4$  >

• ( $-\infty,12>$  

The domain of the function   $f\left(x\right)=\sqrt{x^2-3mx+1}$  is the set of real numbers if and only if:

•  $m\in\left(-\frac{2}{3},\frac{2}{3}\right)$  

•  $m\in\left(-\infty,-\frac{2}{3}\right)\cup\left(\frac{2}{3},+\infty\right)$  

•  $m\in<-\frac{2}{3},\frac{2}{3}>$  

•  $m\in\left(-\infty,-\frac{2}{3}>\cup<\frac{2}{3},+\infty\right)$