CPhill

All x values from 0 to infinity are covered by the graph

[The arrow indicates that the graph continues infinitely along x]

So......

x ≥  0

LOL!!!!!!

Just like the last one, we have

Interior diagonal  = √ [ W^2  + L^2  + H^2  ] =

√[ 60^2  + 80^2  + 100^2  ] = √20000  = 141.42  cm

Omi's answer is correct

The second answer  "vertically stretches"  the parent function by a factor  of 3  

The base diagonal of the box  is just the hypotenuse of a right triangle  with legs  of   32 in  and 8 in

So...its length  is just    √  [32^2  + 8^2]  = 32.98 in

So...this is shorter than the bat

The length of the interior diagonal is just the Pythagorean Theorem "one dimension up"  and is equal to

√  [ L^2  + W^2  + H^2  ]  = √  [32^2  + 8^2  + 6^2 ]   = 33.52 in

This is also shorter than the bat

So....the bat will not fit in the box

"Domain"   is defined as the x values  covered by the graph

Notice that the  least x value  is  -6

And  the arrow indicates that the function covers all the x values from here to infinity

So....the domain   is just  all x values from  -6  to infinity including  x  = -6

In math terms, this can be represented  as

x ≥  -6

Just as Emine has found.....!!!

Does that make sense, RP  ???

Any function  of the form    ab^x  or  b^x   is an exponential

Nice, Melody  !!!

Nice....ILP   !!!!!

The vertex of this parabola is  at the origin  = (0,0)

f(x)  =  (x - 1)^2    has a vertex  of  (1, 0)....so "A" is not correct

f(x)  = x^2  + 1      has a vertex  of  (0, 1).....so  "B" is not correct

f(x)   =  x - 1  is the graph of a line.....so....."D"  isn't correct, either

So....by default...."C"  must be correct

Verify this for yourself here, RP :

https://www.desmos.com/calculator/vgibuvxuhw