Exponential functions

1003024907

Level: 
B
Choose the correct list of properties of the function \( f(x)= -\left(\frac12\right)^{-x} \).
decreasing, bounded above, asymptote at \( y=0 \)
decreasing, bounded below, asymptote at \( x=0 \)
increasing, bounded below, asymptote at \( x=0 \)
increasing, bounded below, asymptote at \( y=0 \)

1103019606

Level: 
B
Identify which of the following relations is correct. Use the graph of \( f(x)=\left(\frac12\right)^x \) given below.
\( \left(\frac12\right)^{-6} >\left(\frac12\right)^{-\frac23} >\left(\frac12\right)^{\frac25} >\left(\frac12\right)^2 >\left(\frac12\right)^7 \)
\( \left(\frac12\right)^7 >\left(\frac12\right)^2 >\left(\frac12\right)^{\frac25} >\left(\frac12\right)^{-\frac25}>\left(\frac12\right)^{-6} \)
\( \left(\frac12\right)^{-\frac23} >\left(\frac12\right)^{-6} >\left(\frac12\right)^{\frac25} >\left(\frac12\right)^2 >\left(\frac12\right)^7 \)
\( \left(\frac12\right)^{-6} >\left(\frac12\right)^{-\frac23} >\left(\frac12\right)^{\frac25} >\left(\frac12\right)^7 >\left(\frac12\right)^2 \)

1103024906

Level: 
B
The graph of function \(-3^{-x}\) is below. Choose the correct list of properties of \( f\).
increasing, bounded above, asymptote at \( y=0 \)
decreasing, bounded above, asymptote at \( y=0 \)
decreasing, bounded below, asymptote at \( x=0 \)
increasing, bounded below, asymptote at \( x=0 \)