Answer) That graph is not a function
Explanation) The graph that you provided is not a function. It does not pass the vertical line test. The vertical line test is when you draw a vertical line (l) at any point on the graph and it should touch 1 or less parts of the graph. If you put the line at x=1, the vertical line only touches the graph at (1,8.5) but if you put the line at x=5, it touches (5,1) and (5,8.5) so it does not pass the test. You should be able to put the line anywhere and have it touch ONLY 1 point. There cannot be multiple of the same x values.
The slope is always change in y value over change in x value so if you pick any 2 points on the line you’ll see that the slope is 30/40 and that simplified is 3/4 so the slop is 3/4
Answer:
Due to there being no negatives in this equation, you can pretty much just eliminate the first 3 answers.
However in working out, here is what I did.
x^2 + x - 30 = 12 (+30)
= x^2 + x = 42
Then you can conclude that the answer is D, due to 6 x 6 = 36, plus 7 equaling 42.
I have no idea what that x is doing, so imma take it out.
2+x-5≤0
-3+x≤0
+3 +3
x≤3
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hope it helps