3.7 difference is subtraction and 5-2 is 3, 9-2 is 7
Answer:
c
Step-by-step explanation:
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Answer:
<u>The cube root parent function:</u>
- f(x) =
![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
<u>Horizontally stretched by a factor of 4:</u>
- g(x) → f(1/4x) =
![\sqrt[3]{1/4x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%2F4x%7D)
<u>Translated 5 units right:</u>
- h(x) → g(x - 5) =
![\sqrt[3]{1/4x - 5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%2F4x%20-%205%7D)
<u>Translated 3 units up:</u>
- k(x) → h(x) + 3 =
![\sqrt[3]{1/4x - 5} + 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%2F4x%20-%205%7D%20%2B%203)
Zeroes of a function are the values of x when f(x) = 0
So to find the zeroes of the function from the graph search for the points whose y-coordinates = 0
The y-coordinates of the point = 0, if the points lie on the x-axis
That means the zeroes of the function are the points of intersection between the graph and the x-axis
let us see that in the graph
I will draw it and post it here
From the graph
The graph intersects x-axis at points (-7, 0) and (-2, 0)
Then the zeroes of the function are (-7, 0) and (-2, 0)
Let us make the table
x f(x)
-2 0
-1 6
0 14
1 24
2 36