Representations of Functions: Matching a table to a function

Determine whether the table represents a functionIs the graph an example of a function?Creating a table from a verbal descriptionSketch the Graph from a Verbal DescriptionMatching a graph to a functionMatching a graph to a table
Question 1

Which of the following equations corresponds to the function represented in the table?

XY-3-1135246810

Question 2

Which of the following equations corresponds to the function represented in the table?

XY-2024601234

Question 3

Which of the following equations corresponds to the function represented in the table?

XY-1012312345

Question 4

Which of the following equations corresponds to the function represented in the table?

XY-125811246810

Question 5

Which of the following equations corresponds to the function represented in the table?

XY-30369-10123

Examples with solutions for Representations of Functions: Matching a table to a function

Exercise #1

Which of the following equations corresponds to the function represented in the table?

XY-3-1135246810

Video Solution

Step-by-Step Solution

We will begin by using the formula for finding slope:

m=y2−y1x2−x1 m=\frac{y_2-y_1}{x_2-x_1}

First let's take the points:

(−1,4),(3,8) (-1,4),(3,8)

m=8−43−(−1)= m=\frac{8-4}{3-(-1)}=

8−43+1= \frac{8-4}{3+1}=

44=1 \frac{4}{4}=1

Next we'll substitute the point and slope into the line equation:

y=mx+b y=mx+b

8=1×3+b 8=1\times3+b

8=3+b 8=3+b

Lastly we'll combine like terms:

8−3=b 8-3=b

5=b 5=b

Therefore, the equation will be:

y=x+5 y=x+5

Answer

y=x+5 y=x+5

Exercise #2

Which of the following equations corresponds to the function represented in the table?

XY-2024601234

Video Solution

Answer

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

Exercise #3

Which of the following equations corresponds to the function represented in the table?

XY-1012312345

Video Solution

Answer

y=x+2 y=x+2

Exercise #4

Which of the following equations corresponds to the function represented in the table?

XY-125811246810

Video Solution

Answer

y=23x+223 y=\frac{2}{3}x+2\frac{2}{3}

Exercise #5

Which of the following equations corresponds to the function represented in the table?

XY-30369-10123

Video Solution

Answer

y=13x y=\frac{1}{3}x

Question 1

Which of the following equations corresponds to the function represented in the table?

XY-3-1135-20246

Question 2

Which of the following equations corresponds to the function represented in the table?

XY-2-1012-4-3-2-10

Question 3

Which of the following equations corresponds to the function represented in the table?

XY-404812-3-2-101

Question 4

Which of the following equations corresponds to the function represented in the table?

XY-3-2-10101234

Question 5

Which of the following equations corresponds to the function represented in the table?

XY01234-5-3-113

Exercise #6

Which of the following equations corresponds to the function represented in the table?

XY-3-1135-20246

Video Solution

Answer

y=x+1 y=x+1

Exercise #7

Which of the following equations corresponds to the function represented in the table?

XY-2-1012-4-3-2-10

Video Solution

Answer

y=x−2 y=x-2

Exercise #8

Which of the following equations corresponds to the function represented in the table?

XY-404812-3-2-101

Video Solution

Answer

y=14x−2 y=\frac{1}{4}x-2

Exercise #9

Which of the following equations corresponds to the function represented in the table?

XY-3-2-10101234

Video Solution

Answer

y=x+3 y=x+3

Exercise #10

Which of the following equations corresponds to the function represented in the table?

XY01234-5-3-113

Video Solution

Answer

y=2x−5 y=2x-5