1103099808
Level:
A
Below, we are given the graph of the logarithmic function \( f(x)=\log (x) \). Use the graph of \( f \) as help to identify which of the next four given graphs is the graph of \( g(x)=-4\log(x) \).
A
1103099807
Level:
A
Below, we are given the graph of the logarithmic function \( f(x)=\log_{\frac13} x \). Use the graph of \( f \) as help to identify which of the next four given graphs is the graph of \( g(x)=\log_{\frac13}(x-2) \).
1103099806
Level:
A
Below, we are given the graph of the logarithmic function \( f(x)=\log_7x\). Use the graph of \( f \) as help to identify which of the next four given graphs is the graph of \( g(x)=\log_7 x+2 \).
1103099805
Level:
A
Below, we are given the graph of the logarithmic function \( f(x)=\log_3 x \). Use the graph of \( f \) as help to identify which of the next four given graphs is the graph of \( g(x)=\log_3 x-2 \).
1003099804
Level:
A
Which of the following equations is the equation of the vertical asymptote of \( f(x)=\log_3(x+5) \)?
\( x=-5 \)
\( x=5 \)
\( y=5 \)
\( y=-5 \)
1003099803
Level:
A
Find the vertical asymptote of \( f(x)=\log_{\frac13}(x-2) \).
\( x =2 \)
\( x =-2 \)
\( y =2 \)
\( y =-2 \)
1103099802
Level:
A
The function \( f(x)=\log_{\frac12} (x+3) \) is graphed below. Which of the following equations is the equation of the vertical asymptote of \( f \)?
\( x = -3 \)
\( x = 3 \)
\( y = -3 \)
\( y = 3 \)
1103099801
Level:
A
The function \( f(x)=\log_2(x+3) \) is graphed below. Find the vertical asymptote of \( f \).
\( x=-3 \)
\( x=3 \)
\( y=-3 \)
\( y=3 \)
1003030906
Level:
A
The function \( f \) has a maximum and has not a minimum. Identify which of the following statements is false, i.e. find the statement that is false for at least one of the functions that meet the given conditions.
The function \( f \) is not bounded above.
The function \( f \) is bounded below.
The function \( f \) is not bounded below.
The function \( f \) is not bounded.
1103030901
Level:
A
The function \( f \) is given by the following graph. Identify which of the following statements is false.
The function \( f \) is not bounded below.
The function \( f \) is bounded below.
The function \( f \) is bounded above.
The function \( f \) is bounded.