Question

Plot the corresponding points for the inverse of the function represented by this table of values. x -4 0 3 7

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given the function f(x) for which

$\begin{array}{ccccc}x&-4&0&3&7\\ \\f(x)&9&5&2&-2\end {array}$

If you want to plot the corresponding points for the inverse of the function f(x), change $f(x)$ into $y$:  

$\begin{array}{ccccc}x&-4&0&3&7\\ \\y&9&5&2&-2\end {array}$

switch x and y

$\begin{array}{ccccc}y&-4&0&3&7\\ \\x&9&5&2&-2\end {array}$

and then change $y$ into $f^{-1}(x).$

You get

$\begin{array}{ccccc}x&9&5&2&-2\\ \\f^{-1}(x)&-4&0&3&7\end {array}$

Now plot these points on the coordinate plane (see attached diagram).