Function g can be thought of as a scaled version of f(x)=|x|. What is the equation for g(x) ? Choose 1 answer: (A) g(x)=-(4)/(3)|x| (B) g(x)=(4)/(3)|x| (c) g(x)=-(3)/(4)|x| (D) g(x)=(3)/(4)|x|

Question

Function  g can be thought of as a scaled version of  f(x)=|x|. What is the equation for  g(x) ? Choose 1 answer: (A)  g(x)=-(4)/(3)|x| (B)  g(x)=(4)/(3)|x| (c)  g(x)=-(3)/(4)|x| (D)  g(x)=(3)/(4)|x|

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Identify Scaling Factor: To find the equation for g(x), we need to determine how it is scaled compared to f(x) = |x|. A scaled version of a function involves multiplying the function by a scaling factor. The given options suggest that the scaling factor is a fraction, either positive or negative.Compare with Original Function: We need to compare the options given to the original function f(x) = |x| to determine which one represents a scaled version of f(x). The scaling factor will be the coefficient in front of the absolute value function.Option (A) Analysis: Option (A) suggests that g(x) = -(4/3)|x|, which means the function is scaled by a factor of -4/3 and also reflected across the x-axis due to the negative sign.Option (B) Analysis: Option (B) suggests that g(x) = (4/3)|x|, which means the function is scaled by a factor of 4/3 without any reflection.Option (C) Analysis: Option (C) suggests that g(x) = -(3/4)|x|, which means the function is scaled by a factor of -3/4 and also reflected across the x-axis due to the negative sign.Option (D) Analysis: Option (D) suggests that g(x) = (3/4)|x|, which means the function is scaled by a factor of 3/4 without any reflection.Eliminate Reflection Options: Since the problem statement does not mention any reflection across the x-axis, we can eliminate options (A) and (C) because they include a negative sign, which would reflect the graph of f(x) across the x-axis.Compare Positive Scaling Factors: Between options (B) and (D), both are positive and represent a scaled version of f(x) without reflection. The difference is in the scaling factor: (4/3) for option (B) and (3/4) for option (D).Final Decision: Without additional information about the specific scaling factor, we cannot determine the correct answer from the options provided. The question prompt does not specify the exact scaling factor, so we cannot conclude which option is correct.

Function $g$ can be thought of as a scaled version of $f(x)=|x|$ . $\newline$ What is the equation for $g(x)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $g(x)=-\frac{4}{3}|x|$ $\newline$ (B) $g(x)=\frac{4}{3}|x|$ $\newline$ (C) $g(x)=-\frac{3}{4}|x|$ $\newline$ (D) $g(x)=\frac{3}{4}|x|$

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