The given function is even.
Solution:
<em>If f(-x) = f(x), then the function is even.</em>
<em>If f(-x) = -f(x), then the function is odd.</em>
Given function:

Substitute x = -x

           
           = f(x)   (given)
    f(-x) = f(x)
From the definition, it is even.
Hence the given function is even.
 
        
             
        
        
        
Answer:
The system of inequalities is


Step-by-step explanation:
step 1
Find the equation of the solid line that goes through the points negative 3, 0, negative 4, negative 1
Let
A(-3,0),B(-4,-1)
Find the slope
m=(-1-0)/(-4+3)
m=-1/-1=1
The equation of the line into point slope form is equal to
y-y1=m(x-x1)
we have 
m=1
point A(-3,0)
substitute
y-0=(1)(x+3)
y=x+3
The solution is the shaded area below the solid line
therefore
The equation of the first inequality is equal to

step 2
Find the equation of the solid line that goes through the points 1, 1, 2, negative 1
Let
C(1,1),D(2,-1)
Find the slope
m=(-1-1)/(2-1)
m=-2/1=-2
The equation of the line into point slope form is equal to
y-y1=m(x-x1)
we have 
m=-2
point C(1,1)
substitute
y-1=(-2)(x-1)
y=-2x+2+1
y=-2x+3
The solution is the shaded area below the solid line
therefore
The equation of the first inequality is equal to

therefore
The system of inequalities is


 
        
             
        
        
        
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I </em>is the amount of interest, <em>p</em> is the principal invested, <em>r</em> is the rate as a decimal number and <em>t</em> is the amount of time.  Substituting our given information we have
128 = <em>p</em>(0.016)(2) ----- 1.6% = 1.6/100 = 0.016
128 = <em>p</em>(0.032)
Divide both sides by 0.032:
128/0.032 = <em>p</em>(0.032)/0.032
4000 = <em>p</em>
He needs to invest $4000.
        
             
        
        
        
Remember that the Rise tests are only for your state. Different states have different tests. My state has the Peaks test.