Can someone help explain what the graph of 1000-10(x-1)^(4/3)/x^1/3

In summary, the equation for the graph is 1000-10(x-1)^(4/3)/x^1/3. The independent variable is x and the dependent variable is y, represented by the function 1000-10(x-1)^(4/3)/x^1/3. The range of the graph is all real numbers, and the exponents in the equation determine the shape and rate of change of the graph.
  • #1
dcgirl16
27
0
can someone help explain what the graph of 1000-10(x-1)^(4/3)/3rd root of x would look like
 
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  • #2
Just put it into Excel or something, to see what it looks like.
 
  • #3
www.calc101.com has many great features, one of them being a graphing program. Plug in your equation there.
 

What is the equation for the graph?

The equation for the graph is 1000-10(x-1)^(4/3)/x^1/3.

What is the independent variable in the equation?

The independent variable in the equation is x.

What is the dependent variable in the equation?

The dependent variable in the equation is y, which is represented by the function 1000-10(x-1)^(4/3)/x^1/3.

What is the range of the graph?

The range of the graph is all real numbers, as the function can have any value of y for a given value of x.

What is the meaning of the exponents in the equation?

The exponent of 4/3 in the first term and 1/3 in the second term represent the power to which x is raised. This influences the shape of the graph and how quickly or slowly it changes.

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