Using Function Notation

For functions  $A\left(x\right)$  and  $B\left(x\right)$  when x=3:

•  $A\left(3\right)>B\left(3\right)$  

•  $A\left(3\right)<B\left(3\right)$  

•  $A\left(3\right)=B\left(3\right)$  

 $f\left(0\right)=g\left(0\right)$  

• FALSE

• TRUE

At 1 second, the toy rocket, $R\left(t\right)$  , is above the drone,  $D\left(t\right)$  .  In function notation this would be:

•  $R\left(1\right)=D\left(1\right)$  

•  $R\left(1\right)<D\left(1\right)$  

•  $R\left(1\right)>D\left(1\right)$  

•  $R\left(t\right)=D\left(t\right)$  

 $f\left(5\right)\ or\ g\left(5\right)$  Which statement is TRUE?

•  $g\left(5\right)>f\left(5\right)$  

•  $f\left(5\right)>g\left(5\right)$  

•  $f\left(5\right)=g\left(5\right)$  

At  $x=0$  , which is TRUE when we compare $f\left(x\right)\ and\ \ g\left(x\right)$  ?

•  $f\left(0\right)>g\left(0\right)$  

•  $g\left(0\right)>f\left(0\right)$  

•  $f\left(0\right)=g\left(0\right)$  

At 9.5 months after the start of the year the average temperature in Aspen is EQUAL to that in Minneapolis. In function notation this would be expressed:

• $M\left(9.5\right)>A\left(9.5\right)$

• $A\left(9.5\right)>M\left(9.5\right)$

•  $9.5=9.5$ 

• $A\left(9.5\right)=M\left(9.5\right)$

 $f\left(0\right)<g\left(0\right)$  True or False?

• FALSE

• TRUE

• Can't tell

At  $x=4$  , when we compare $f\left(x\right)$ to  $g\left(x\right)$  we see that the lines intersect.  This means

•  $f\left(4\right)>g\left(4\right)$  

•  $f\left(4\right)<g\left(4\right)$  

•  $f\left(7\right)=g\left(7\right)$  

•  $f\left(4\right)=g\left(4\right)$  

The function $V\left(t\right)$ shows the volume of the water cooler as a function of time.  In function notation, how would we report that at 2 minutes the volume is 4 liters?

•  $V\left(2\right)=4$  

•  $V\left(4\right)=2$  

•  $V\left(4\right)=0$  

•  $V\left(0\right)=8$  

At five seconds, the Drone,  $D\left(t\right)$  is higher than the Toy Rocket,  $R\left(t\right)$  .  In function notation we would say:

•  $D\left(t\right)=R\left(t\right)$  

•  $D\left(5\right)=R\left(5\right)$  

•  $D\left(5\right)>R\left(5\right)$  

•  $D\left(5\right)<R\left(5\right)$