Graph the function \( y=5\left(\frac{1}{4}\right)^{x} \), Complete the ordered pairs for the \( x \)-values of \( -2,-1,0 \), and 1 by finding the \( y \)-values, (1 point) \( (-2,0,45),(-1,0,67),(0,1) \), and \( (1,1,50) \) \( (-2,-2.99),(-1,-1,49),(0,0) \), and \( (1,1,49) \) \( (-2,-2.5),(1,1,25),(0,0) \) and \( (1,1,2) \) \( (-2,80),(-1,20),(0,5) \), and \( (1,1.25) \)
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To find the ordered pairs for the function \( y=5\left(\frac{1}{4}\right)^{x} \) at the specified \( x \)-values, we'll calculate the corresponding \( y \)-values. For \( x = -2 \): \[ y = 5\left(\frac{1}{4}\right)^{-2} = 5 \cdot 16 = 80 \] For \( x = -1 \): \[ y = 5\left(\frac{1}{4}\right)^{-1} = 5 \cdot 4 = 20 \] For \( x = 0 \): \[ y = 5\left(\frac{1}{4}\right)^{0} = 5 \cdot 1 = 5 \] For \( x = 1 \): \[ y = 5\left(\frac{1}{4}\right)^{1} = 5 \cdot \frac{1}{4} = 1.25 \] So the ordered pairs are: - For \( x = -2 \), \( y = 80 \): \( (-2, 80) \) - For \( x = -1 \), \( y = 20 \): \( (-1, 20) \) - For \( x = 0 \), \( y = 5 \): \( (0, 5) \) - For \( x = 1 \), \( y = 1.25 \): \( (1, 1.25) \) Thus, the correct answer is: \( (-2, 80), (-1, 20), (0, 5), (1, 1.25) \).