Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph the inverse of the provided graph on the accompanying set of axes…

Question

graph the inverse of the provided graph on the accompanying set of axes. you must plot at least 5 points.
click the graph to make a point. click it again to erase.

Explanation:

Step1: Identify points on original line

First, pick 5 points from the given line:

  1. $(-10, 4)$
  2. $(0, 1)$
  3. $(5, 0)$
  4. $(10, -1)$
  5. $(-5, 2.5)$

Step2: Swap x,y for inverse points

For the inverse function, swap the $x$ and $y$-coordinates of each point:

  1. $(4, -10)$
  2. $(1, 0)$
  3. $(0, 5)$
  4. $(-1, 10)$
  5. $(2.5, -5)$

Step3: Plot & connect inverse points

Plot these swapped points on the axes, then draw a straight line through them.

Answer:

The inverse graph is a straight line passing through the points $(4, -10)$, $(1, 0)$, $(0, 5)$, $(-1, 10)$, and $(2.5, -5)$. When plotted and connected, this line is the reflection of the original graph over the line $y=x$.