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Which of the following is a parent function?A.๐‘“(๐‘ฅ)=โˆ’2๐‘ฅ+1f(x)=โˆ’2 x+1 B.๐‘“(๐‘ฅ)=๐‘’3๐‘ฅโˆ’2f(x)=e 3x โˆ’2C.๐‘“(๐‘ฅ)=4๐‘ฅf(x)=4 x D.๐‘“(๐‘ฅ)=4๐‘ฅ2f(x)=4x 2 SUBMITarrow_backPREVIOUS

Question

Which of the following is a parent function?A.๐‘“(๐‘ฅ)=โˆ’2๐‘ฅ+1f(x)=โˆ’2 x+1 B.๐‘“(๐‘ฅ)=๐‘’3๐‘ฅโˆ’2f(x)=e 3x โˆ’2C.๐‘“(๐‘ฅ)=4๐‘ฅf(x)=4 x D.๐‘“(๐‘ฅ)=4๐‘ฅ2f(x)=4x 2 SUBMITarrow_backPREVIOUS

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Solution

The parent function in the given options is C. ๐‘“(๐‘ฅ)=4๐‘ฅ. A parent function is the simplest function of a family of functions, in this case, the family of linear functions, which is represented by f(x) = x. Here, f(x) = 4x is a simple linear function, where 4 is the slope of the function.

Similar Questions

Which type of parent function is ๐‘“(๐‘ฅ)=๐‘ฅ2f(x)=x 2 ?A.Square rootB.QuadraticC.Cube rootD.LinearSUBMITarrow_backPREVIOUS

How does the graph of ๐‘“(๐‘ฅ)=3โˆฃ๐‘ฅ+2โˆฃ+4f(x)=3โˆฃx+2โˆฃ+4 relate to its parent function?A.The parent function has been stretched.B.The parent function has been compressed.C.The parent function has been translated up.D.The parent function has been translated to the left.SUBMITarrow_backPREVIOUS

The graph shows the linear parent function.Which statement best describes the function?A.The function is negative when x > 0.B.The function is negative when x < 0 and also when x > 0.C.The function is negative when x < 0.D.The function is never negative.SUBMITarrow_backPREVIOUS

The graph shows the quadratic parent function.Which statement is true?A.(0, 0) is the x- and y-intercept of the function.B.(1, 1) is the x- and y-intercept of the function.C.The function has no intercepts.D.(0, 1) is the x- and y-intercept of the function.SUBMITarrow_backPREVIOUS

The graph shows the absolute value parent function.Which statement best describes the function?A.The function is increasing when x > 0.B.The function is never increasing.C.The function is increasing when x < 0.D.The function is always increasing.SUBMITarrow_backPREVIOUS

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