To graph the function \( y = 5 \left( \frac{1}{4} \right)^x \) and find the ordered pairs for the specified x-values, we will calculate the corresponding y-values.
Let's calculate the y-values for the given x-values:
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For \( x = -2 \): \[ y = 5 \left( \frac{1}{4} \right)^{-2} = 5 \left( \frac{4}{1} \right)^{2} = 5 \times 16 = 80 \] So, the ordered pair is \( (-2, 80) \).
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For \( x = -1 \): \[ y = 5 \left( \frac{1}{4} \right)^{-1} = 5 \left( \frac{4}{1} \right)^{1} = 5 \times 4 = 20 \] So, the ordered pair is \( (-1, 20) \).
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For \( x = 0 \): \[ y = 5 \left( \frac{1}{4} \right)^{0} = 5 \times 1 = 5 \] So, the ordered pair is \( (0, 5) \).
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For \( x = 1 \): \[ y = 5 \left( \frac{1}{4} \right)^{1} = 5 \times \frac{1}{4} = \frac{5}{4} = 1.25 \] So, the ordered pair is \( (1, 1.25) \).
Now, we have the following ordered pairs:
- \( (-2, 80) \)
- \( (-1, 20) \)
- \( (0, 5) \)
- \( (1, 1.25) \)
You can plot these points on a coordinate graph to visualize the function \( y = 5 \left( \frac{1}{4} \right)^x \). The graph will show a decreasing exponential function.