What is the student's error?

Mathematics

1 answer:

Trava [24]3 years ago

3 0

Answer:

Two x's can have the same y, but an x cannot have different y's. For example, [(2,3)(-2,4)(3,3)(5,18)] is a function because all of the x's have a specific y, and there is not more than one y to an x. However, [(2,3)(-3,7)(2,-4)] is not a function because one of the x's has more than one y.

Step-by-step explanation:

(hope this helps-you can just put the first sentence...the rest is kinda wordy :P)

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1. The function, g, is graphed below. EXPLAIN how to find x, if g(x) = -1 in sufficient<br> detail

konstantin123 [22]

<h3>Answer: x = 1</h3>

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Explanation:

Step 1) Start at -1 on the y axis.
Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
Step 3) Mark the point of intersection. Let's call it point A.
Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.

All of this is shown in the diagram below.

Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.

Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.

Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.