The graph shows the function f(x).
1 answer:
The equation that represents the given data is Option D is the correct answer.
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
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) =
f(x) = -3
f(x) = 2
The equation that represents the given data is
Option D is the correct answer.
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To find x, first we'll split the triangle in two right triangles.
The first triangle will be the one with sides (8,x+4,y) and the second triangle will be the one with sides (12,2x+1,y).
As you can see, these two triangles share the side 'y'.
To solve we'll do the following; first solve for 'y' by applying the Pythagorean theorem in the second triangle, and finally solve for 'x' applying Pythagorean theorem in the first triangle.
From the second triangle (12,2x+1,y) we solve for 'y' by writing:
Now that we know 'y^2' we apply Pythagorean Theorem in the first triangle (8,x+4,y)
Now you solve the quadratic equation, you'll get a positive and negative value; as this are lengths, you take the positive and get:
The first triangle will be the one with sides (8,x+4,y) and the second triangle will be the one with sides (12,2x+1,y).
As you can see, these two triangles share the side 'y'.
To solve we'll do the following; first solve for 'y' by applying the Pythagorean theorem in the second triangle, and finally solve for 'x' applying Pythagorean theorem in the first triangle.
From the second triangle (12,2x+1,y) we solve for 'y' by writing:
Now that we know 'y^2' we apply Pythagorean Theorem in the first triangle (8,x+4,y)
Now you solve the quadratic equation, you'll get a positive and negative value; as this are lengths, you take the positive and get: