Characteristics of Functions Pt. 2

As x approaches negative infinity, y is approaching __________.

• negative infinity

• positive infinity

• positive and negative infinity

• neither

Select all terms that mean real solutions.

• Zeros

• Imaginary

• Roots

• x-intercepts

• y-intercepts

How many imaginary zeros does this graph appear to have?

(a)  

Even degree polynomials have arrows pointing in opposite directions.

• True

• False

If  $g\left(x\right)=2x^2-4$ , find g(-3). 

(a)  

If  $h\left(x\right)=x^2-2x+1$ , find  $h\left(a+2\right)$   

•  $a^2+2a+1$  

•  $a^2-2a+1$  

•  $a^2+2a+9$  

•  $a^2-2a+9$  

If the solutions to a polynomial are {2, -5}, with no double roots, what are the factors? Be sure your answer is in

(___)(___) form with no spaces.

(a)  

What are the apparent factors of this graph?

• $\left(x-3\right)\left(x+2\right)$

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

• $\left(x+3\right)\left(x-2\right)$

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

• $\left(x-3\right)\left(x+2\right)\left(x-12\right)$

 $f\left(x\right)=\frac{2}{3}\left|x-2\right|+7$  

Name all the transformations you see in:

• Horizontal Shift

• Vertical Shift

• Vertical Stretch

• Vertical Compression

• Vertical Reflection

 $f\left(x\right)=-x^2+1$  

Name all the transformations you see in:

• Horizontal Shift

• Vertical Shift

• Vertical Stretch

• Vertical Compression

• Vertical Reflection