Power and radical functions

1103143401

Level: 
A
The graphs represent the parts of the functions \( f(x)=x^3 \) and \( g(x)=x^4 \). Identify which of the following statements is false.
\( \left(-\frac12\right)^3 > (2)^3 \)
\( (-2)^3 < \left(-\frac12\right)^3 \)
\( \left(\frac13\right)^3 \geq (0.3)^3 \)
\( (-1)^3 \leq (1)^3 \)

1103143403

Level: 
A
The graphs represent the parts of the functions \( f(x)=x^3 ;\ g(x)=x^4;\ h(x)=x^5 \). Identify which of the following statements is false.
\( \left(-\frac13\right)^5 < \left(-\frac13\right)^3 \)
\( \left(\frac12\right)^5 < \left(-\frac12\right)^4 \)
\( (-3)^4 > (3)^3 \)
\( \left(\frac14\right)^3 \geq (-0.25)^4 \)

1103143501

Level: 
A
The graphs represent the parts of the functions \( f(x)=x^3 \) and \( g(x)=x^4 \). Identify which of the following statements is false.
The solution set of the inequality \( x^4 > x^3 \) is \( (1;\infty) \).
The solution set of the inequality \( x^4 > 0 \) is \( (-\infty;0)\cup(0;\infty) \).
The solution set of the equation \( x^3 = x^4 \) is \( \{0;1\} \).
The solution set of the inequality \( x^3 \geq x^4 \) is \( [0;1] \).