Interactive practice questions
The graph of a function $f$f is defined by the single point $\left(-3,6\right)$(−3,6).
State the domain of the function $f$f.
Domain: $\left\{\editable{}\right\}${}
State the range of the function $f$f.
Range: $\left\{\editable{}\right\}${}
The point is reflected about the line $y=x$y=x to form the graph of the function $f^{-1}$f−1. State the coordinates of the single point that defines $f^{-1}$f−1.
State the domain of the function $f^{-1}$f−1.
Domain: $\left\{\editable{}\right\}${}
State the range of the function $f^{-1}$f−1.
Range: $\left\{\editable{}\right\}${}
Which of the following statements is true? Select all that apply.
The domain of $f$f is equal to the domain of $f^{-1}$f−1.
The range of $f$f is equal to the range of $f^{-1}$f−1.
The domain of $f$f is equal to the range of $f^{-1}$f−1.
The range of $f$f is equal to the domain of $f^{-1}$f−1.
Consider the graph of $f\left(x\right)=4^x$f(x)=4x shown below.