Finding the Intersection Point of Two Functions: Graph Analysis Exercise

At which point does the graph of the first function (I) intersect the graph of the second function (II)?

111222333444555666777–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333000xyIII

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the intersection point of the graphs
00:03 We'll draw perpendicular lines to each axis, and thus find the values on the axes
00:08 We found that on the X-axis it's 4
00:16 and on the Y-axis it's 2
00:20 and this is the solution to the question

Step-by-step written solution

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1

Understand the problem

At which point does the graph of the first function (I) intersect the graph of the second function (II)?

111222333444555666777–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333000xyIII

2

Step-by-step solution

Let's pay attention to the point where the lines intersect. We'll mark it.

We'll find that:

X=4,Y=2 X=4,Y=2

Therefore, the point is:

(4,2) (4,2)

3

Final Answer

(4,2) (4,2)

Practice Quiz

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Which statement best describes the graph below?

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