Power and radical functions

1103159303

Level: 
A
The graphs represent the parts of the functions \( f(x)=x^{-2} \) and \( g(x)=x^{-3} \). Identify which of the following statements is true.
\( -\left(\frac12\right)^{-3} < (-2)^{-3} \)
\( (-2)^{-2} \leq -2^{-2} \)
\( (-2)^{-3} < -2^{-3} \)
\( (-2)^{-3} \leq -2^{-2} \)

1103159302

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 true.
\( \left(\frac12\right)^{-3} < \left( \frac12 \right)^{-4} \)
\( 2^{-4} > 2^{-3} \)
\( (-2)^{-4} \leq (-2)^{-3} \)
\( (-1)^{-4} > 1^{-3} \)

1103159301

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

1103143503

Level: 
A
The graphs represent the parts of the functions \( f(x)=x^4 \) and \( g(x)=x^6 \). Identify which of the following statements is true.
The solution set of the inequality \( x^4 \leq x^6 \) is \( (-\infty; -1]\cup[1;\infty)\cup\{0\} \).
The solution set of the inequality \( x^4 > x^6 \) is \( (-1;1) \).
The solution set of the equation \( x^6=x^4 \) is \( \{0;1\} \).
The solution set of the inequality \( x^6 \geq x^4 \) is \( (-\infty; -1]\cup[1; \infty) \).