Respuesta :

iven:

he fucnction is,

[tex]f(x)=\frac{3}{4}\sqrt[3]{x+1}[/tex]

xplanation:

he graph fo the function cnan be obtained by graph of cube root of x.

If we shift the graph of cube root by x by one unit left then then function changed to,

[tex]\sqrt[3]{x+1}[/tex]

If the obtained graph shrink vertically by a factor of 3/4 then graph changed to function,

[tex]\frac{3}{4}\sqrt[3]{x+1}[/tex]

This is the requied function for which we need the graph.

So graph can be obtained by horizontal shift of 1 unit to left, shrink by a factor of 3/4 and there is no vertical shift and graph will not flip over any axis.

Thus answer is, All statements are true.