The equation that represents the given data is ![\RM \\f(x) = -\sqrt[3]{-x} ,](https://tex.z-dn.net/?f=%5CRM%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D%20%2C)
Option D is the correct answer.
<h3>What is a Function ?</h3>
It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
![\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%7D%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx-1%7D%20%5C%5Cf%28x%20%29%20%3D-%5Csqrt%5B3%5D%7B-x%7D%20-1%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D)
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) = ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
f(x) = -3
f(x) = 2
The equation that represents the given data is
Option D is the correct answer.
To know more about Function
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Answer:
x = 18 and x=0
Step-by-step explanation:
Answer: 31.42 inches.
Step-by-step explanation:
Since the circumference of a circle equation is C = πd (also C = 2πr, in which 2*r = d), you can just substitute d = 10.
Then you get C = π*10 ≈ 31.42 inches.
Answer: The x-intercepts represents the points at which the parabola crosses the axis of x.
Step-by-step explanation:
If it exist then the x-intercepts represent the zeros, roots, or quadratic function, the values of x at y = 0. Then the parabola does not cross the x-axis, so it has no zeros.
Answer:
See below
Step-by-step explanation:
<h3>Part (a)</h3>
f(x - 1) is the translation of f(x) one unit right.
So the graph is exactly same shape but shifted right one unit.
<h3>Part (b)</h3>
f(x) has vertex (-1, 2)
<u>The function y = f(-x) + 2 will have the vertex changed as per rule:</u>
<u>So the new vertex is:</u>
- (-1, 2) → (-(-1), 2 + 2) = (1, 4)
