Question

which statement is true of the function f(x) = -³√x ? check all that apply. a). the function is always increasing. b). the function has a domain of all real numbers. c). the function has a range of {y|– < y < }. d). the function is a reflection of y =³√x . e). the function passes through the point (3, –27).

Answer 1

Answers

The function has a domain of all real numbers . True

The cube root of real number is also real. The negative sign is outside he radical so it cannot result to an imaginary number.

The function is a reflection of y =³√x . True

The function is always increasing. False

When getting the cube root of a number the result is alway smaller. So the domain of the function should be decreasing not increasing.

The function has a range of {y|– < y < } . False

The function passes through the point (3, –27) . False

When this values are substituted it the function they don't satisfy it.

Answer 2

The function is always increasing . . . . . . . . False
the function has a domain of all real numbers . . . . . . . . True
the function has a range of {y|– < y < } . . . . . . . . False
the function is a reflection of y =³√x  . . . . . . . . True
the function passes through the point (3, –27) . . . . . . . . False