Representations of Functions: Matching a graph 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 tableMatching a table to a function
Question 1

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

Question 2

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–3–3–3–2–2–2–1–1–1111222333444555666000

Question 3

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–3–3–3–2–2–2–1–1–1111222333444555666000

Question 4

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

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

Question 5

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

–10–10–10–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–2–2–2–1–1–1111222333444555666777000

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

Exercise #1

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

Video Solution

Step-by-Step Solution

Let's use the below formula in order to find the slope:

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

We begin by inserting the known data from the graph into the formula:

(0,−2),(−2,0) (0,-2),(-2,0)

m=−2−00−(−2)= m=\frac{-2-0}{0-(-2)}=

−20+2= \frac{-2}{0+2}=

−22=−1 \frac{-2}{2}=-1

We then substitute the point and slope into the line equation:

y=mx+b y=mx+b

0=−1×(−2)+b 0=-1\times(-2)+b

0=2+b 0=2+b

Lastly we combine the like terms:

0+(−2)=b 0+(-2)=b

−2=b -2=b

Therefore, the equation will be:

y=−x−2 y=-x-2

Answer

y=−x−2 y=-x-2

Exercise #2

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–3–3–3–2–2–2–1–1–1111222333444555666000

Video Solution

Answer

y=x+4 y=x+4

Exercise #3

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–3–3–3–2–2–2–1–1–1111222333444555666000

Video Solution

Answer

y=−45x+4 y=-\frac{4}{5}x+4

Exercise #4

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

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

Video Solution

Answer

y=3 y=3

Exercise #5

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

–10–10–10–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–2–2–2–1–1–1111222333444555666777000

Video Solution

Answer

y=53x+5 y=\frac{5}{3}x+5

Question 1

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

–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

Question 2

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–2–2–2–1–1–1111222333444555666000

Question 3

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222000

Question 4

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

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010–3–3–3–2–2–2–1–1–1111222333444555666000

Exercise #6

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

–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444000

Video Solution

Answer

y=−2 y=-2

Exercise #7

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–2–2–2–1–1–1111222333444555666000

Video Solution

Answer

y=x2 y=x^2

Exercise #8

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

–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222000

Video Solution

Answer

y=−x2 y=-x^2

Exercise #9

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

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999101010–3–3–3–2–2–2–1–1–1111222333444555666000

Video Solution

Answer

y=−43x+4 y=-\frac{4}{3}x+4