We are looking for the point out of the four listed that lies in the double hatched area on the right lower part of the graph. (below the dotted line and above the solid line).
Be mindful of how (7,0) and (0,7) differ
Can use the 2nd Draw menu: It can barely be seen on the x-axis but check out the graph below carefully and you will see a dot at (7,0). See the double hatched area above!
That’s it — 2 more points :)
The key word here is NOT
Look at the table and see which point is not listed
That’s 2 points :)
You can see from the table above that the y value is 0 when x = -5 and x = 5
It can also be seen from the graph above that the zeros
(where the function crosses the x-axis)
are at x = -5 and x = 5
Linear vs Exponential
Look at the pattern of t(x) which are the y values.
Every time x goes up by 2 (from -3 to -1, or -1 to 1, 1 to 3, or 3 to 5), t(x) goes down by 2.5.
This means that there is a constant rate of change or slope and that the function is linear.
These points can be plotted on graph paper to see if they will make a line which they do :)
Here is some more practice from the awesome site www.emathinstruction.com
https://emathinstruction.com/wp-content/uploads/2014/11/CCAlg1-U6L8-Linear-Versus-Exponential.pdf
Residuals show how far the data is from the line of best fit.
If a line is a good fit for the data, then the residuals will be about half below and half above the x axis. The residuals will also be close to the x-axis which means that their values are fairly small.
If the residual plot shows a pattern (see below), then a linear will not be a good fit. See the link from Math Bits below:
http://mathbitsnotebook.com/Algebra1/StatisticsReg/ST2Residuals.html
Looking at the 4 choices, which looks most like the the left most graph that says “Random, No Pattern. Linear Appropriate”?
Math Confidence by Robin the Math Lady 