Question

11. What function is shown by the graph below

Answer 1

Answer:

The function shown by the graph is  $f(x)=1+\frac{1}{2}\sqrt[3]{x-2}$ ⇒ 1st answer

Step-by-step explanation:

To find the function chose two points from the graph and substitute their x-coordinates in each function, the right function we give you the corresponding y-coordinates

From the figure:

∵ The graph passes through points (2 , 1) and (3 , 1.5)

∵ $f(x)=1+\frac{1}{2}\sqrt[3]{x-2}$

∵ x = 2

∴ $f(2)=1+\frac{1}{2}\sqrt[3]{2-2}$

∴ $f(2)=1+\frac{1}{2}\sqrt[3]{0}$

∴ $f(2)=1+0$

∴ f(2) = 1 ⇒ same value of y-coordinate

∵ x = 3

∴ $f(3)=1+\frac{1}{2}\sqrt[3]{3-2}$

∴ $f(3)=1+\frac{1}{2}\sqrt[3]{1}$

∴ $f(3)=1+\frac{1}{2}$

∴ f(3) = 1.5 ⇒ same value of y-coordinate

∴ The function shown by the graph is  $f(x)=1+\frac{1}{2}\sqrt[3]{x-2}$