F(x)=square root of x^2+24x+144. g(x) = square root of x^3 -216
2 answers:
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Answer:
The function is shown by the graph below ⇒ 2nd answer
Step-by-step explanation:
<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>
From the figure:
The curve passes through points (-2 , 0) and (2 , 2)
∵
∵ x = -2
- Substitute x by -2
∴
∴ ⇒ it is impossible no square root for (-) number
∴ is not the function shown by the graph
∵
∵ x = -2
- Substitute x by -2
∴
∴
∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2
∵ x = 2
- Substitute x by 2
∴
∴
∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2
∴ The function is shown by the graph below