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Friday, October 26, 2012

Discussion Question 2

ASA!

Discussion question 2 is below:
1. Compare the domain and the range for the parent quadratic function to the domain and range for the parent linear function.

2. Compare the domain and the range for the parent square root function to the domain and range for the parent cubic function.

Leave your answer below in the comments section.
Answer the questions in complete sentences in paragraph form.

Due: Wednesday ( October 31, 2012) @ 11:59pm

2 comments:

  1. The comparison of domain and range of a parent quadratic function is that the domain is either going to be horizontal going left or right, and the range of this function is going to be either to go in the direction up or down. All this depends on the equation given. The domain and range of a parent linear function is that the domain is going to be an independent variable and can be all x-values and the range is always dependent and also can be all y-values meaning that any number on the number for both domain and range is an answer to the linear function.
    The domain and range of a parent square root function is that the domain has to be greater or equal to 0 and that the range has to be can also be greater than or equal to 0 when there is an inverse involved in the equation. And for a parent cubic function the domain is going to be horizontally negative or postive and the range is going to be vertically positive or negative depending on the equation that could say for example x cubed plus or minus 3 or x cubed plus or minus a number (k) and then outside of the parenthesis a negative or positive number.

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  2. Domain of a linear function (parent) is all real numbers.
    Range of a linear function (parent) is also all real numbers.
    Domain of a quadratic (parent) is all real numbers.
    Range of a quadratic (parent) is y>= 0.The parent quadratic function is y = x^2.
    The parent linear function is y = x
    The domain of both is all real numbers.
    The range for y = x^2 is y ≥ 0 because when you square a number it will never be negative.

    The parent square root function is y = sqrt(x).
    The parent cubic function is y = x^3
    The domain of y = sqrt(x) is x ≥ 0 because you cannot take the square root of negative numbers.
    The domain of y = x^3 is all real numbers.
    The range of y = sqrt(x) is y ≥ 0.
    The range of y = x^3 is all real numbers.

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