1003030404
Level:
C
Identify which of the following points lies on the graph of the inverse of function \( f(x)=x^3+2 \).
\( [-6;-2] \)
\( [6;2] \)
\( [-2;-6] \)
\( [-6;2] \)
\( [-2;6] \)
Properties of functions
1003030405
Level:
C
Identify which of the following functions is the inverse of function \( f(x)=-\frac12 x+3 \).
\( h(x)=-2x+6 \)
\( g(x)=-2x+3 \)
\( m(x)=-2x+\frac13 \)
\( n(x)=\frac12 x-3 \)
1003030406
Level:
C
Identify which of the following functions is the inverse of function \( f(x)=\frac{2x+1}{x-3 }\).
\( h(x)=\frac{3x+1}{x-2} \)
\( g(x)=\frac{x-3}{2x+1} \)
\( m(x)=\frac{2x-1}{x+3} \)
\( n(x)=\frac{3x-1}{x+2} \)
1003107101
Level:
C
Complete the following true statement: The graph of a function \( f(x) \) is the reflection the graph of its inverse \( f^{-1}(x) \)
across the line \( y=x \).
across the axis \( x \).
across the axis \( y \).
about the origin.
1103030407
Level:
C
Suppose function \( f \) is given by the graph. Identify which of the following graphs is the graph of the inverse of \( f \).
1103030408
Level:
C
In one of the following pictures is the graph of the function \( f \), which is not one-to-one function. Choose the picture.
1103107102
Level:
C
The graph of the function \( f(x) \) and its inverse \( f^{-1} (x) \) is shown in one of the following pictures. Choose the picture.
1103107103
Level:
C
The graph of the function \( f(x) \) and its inverse \( f^{-1} (x) \) is shown in one of the following pictures. Choose the picture.
1103107104
Level:
C
In one of the following pictures is the graph of the function \( f \), which is not one-to-one function. Choose the picture.
2000002406
Level:
C
Which of the functions is one-to-one?
\( f(x) = x-3 \)
\( f(x) = |x+1|\)
\( f(x) = x^3-x \)
\( f(x) = x^2 \)