Which of the following is a parent function?A.๐(๐ฅ)=โ2๐ฅ+1f(x)=โ2 x+1 B.๐(๐ฅ)=๐3๐ฅโ2f(x)=e 3x โ2C.๐(๐ฅ)=4๐ฅf(x)=4 x D.๐(๐ฅ)=4๐ฅ2f(x)=4x 2 SUBMITarrow_backPREVIOUS
Question
Which of the following is a parent function?A.๐(๐ฅ)=โ2๐ฅ+1f(x)=โ2 x+1 B.๐(๐ฅ)=๐3๐ฅโ2f(x)=e 3x โ2C.๐(๐ฅ)=4๐ฅf(x)=4 x D.๐(๐ฅ)=4๐ฅ2f(x)=4x 2 SUBMITarrow_backPREVIOUS
Solution
The parent function in the given options is C. ๐(๐ฅ)=4๐ฅ. 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.
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