Graphical Representation: Identifying the algebraic expression of a linear function

Examples with solutions for Graphical Representation: Identifying the algebraic expression of a linear function

Exercise #1

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

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Video Solution

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)

Answer

(4,2) (4,2)

Exercise #2

At what point does the graph intersect the x axis?

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

Video Solution

Step-by-Step Solution

Note that the line intersects only the Y-axis. In other words, it does not touch the X-axis at all.

Therefore, the answer is D.

Answer

Does not cut the axis x

Exercise #3

Does the first graph of the function pass through the origin of the axes?

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Video Solution

Step-by-Step Solution

Let's remember that the origin of the coordinate system is: (0,0) (0,0)

We'll highlight the point on the graph, and note that it doesn't lie on any of the plotted graphs.

Therefore, the answer is C. If we plot the point (3,1) (3,1) , we'll see that it lies on the first graph (the blue one)

Answer

No, it passes through (3,1) (3,1)

Exercise #4

At what point does the graph intersect the yaxis?

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

Video Solution

Answer

(0,2) (0,2)

Exercise #5

What representations describe a linear function?

Video Solution

Answer

Answers A + C are correct

Exercise #6

Which expression describes a linear function?

Video Solution

Answer

y=4x+1 y=4x+1

Exercise #7

Which expressions represent linear functions and parallel lines?

Video Solution

Answer

y=2(x+1) y=2(x+1)

y=3+2x y=3+2x

Exercise #8

Which of the following represent linear functions and parallel lines?

Video Solution

Answer

y=12x+10 y=\frac{1}{2}x+10

y=12(x+2) y=\frac{1}{2}(x+2)

Exercise #9

Which of the following describes linear functions and parallel lines?

Video Solution

Answer

y=4(x+1) y=-4(x+1)

y=8x12(x+1) y=8x-12(x+1)

Exercise #10

Which of the following describes a linear function?

Video Solution

Answer

Answers A and C are correct.

Exercise #11

Which of the following describe linear functions?

Video Solution

Answer

Answers A and B are correct.

Exercise #12

Choose representations describing linear functions and parallel lines.

Video Solution

Answer

Las respuestas C y D son correctas