Starting with the graph of a basic function, graph the following function using the techniques of shifting, compressing, stretching, and/or reflecting. find the domain and range of the function. f(x) = -(x + 1)3-1

Domain and range of the function is all real number.

Step-by-step explanation:

The given function is

               .... (1)

It is a cubic function.

The parent cubic function is

The translation is defined as

               .... (2)

where, k is stretch factor, a is horizontal shift and b is vertical shift.

If |k|>1, then the graph of g(x) stretch by factor k and if 0<|k|<1

, then the graph of g(x) compressed by factor k. If k<0, then graph of g(x) reflects across x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2), we get

k=-1<0, so the graph reflects across x-axis.

a=1>0, so the graph of parent function shifts 1 units left.

b=-1<0, so the graph of parent function shifts 1 units down.

Domain and range of cubic polynomial is all real number. Since the given function is a cubic polynomial, therefore domain and range of the function is all real number.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation: