Question

Graph the function y=5(1/4)x
. Complete the ordered pairs for the x-values of −2
, −1
, 0, and 1 by finding the y-values.(1 point)
Responses

(−2,0.45)
, (−1,0.67)
, (0,1)
, and (1,1.50)
left parenthesis negative 2 comma 0.45 right parenthesis , left parenthesis negative 1 comma 0.67 right parenthesis , left parenthesis 0 comma 1 right parenthesis , and left parenthesis 1 comma 1.50 right parenthesis

(−2,−2.99)
, (−1,−1.49)
, (0,0)
, and (1,1.49)
left parenthesis negative 2 comma negative 2.99 right parenthesis , left parenthesis negative 1 comma negative 1.49 right parenthesis , left parenthesis 0 comma 0 right parenthesis , and left parenthesis 1 comma 1.49 right parenthesis

(−2,80)
, (−1,20)
, (0,5)
, and (1,1.25)
left parenthesis negative 2 comma 80 right parenthesis , left parenthesis negative 1 comma 20 right parenthesis , left parenthesis 0 comma 5 right parenthesis , and left parenthesis 1 comma 1.25 right parenthesis

(−2,−2.5)
, (1,1.25)
, (0,0)
and (1,1.2)

Answer 1

To find the y-values for the function \( y = 5 \left( \frac{1}{4} \right)^x \) at the specified x-values of \(-2\), \(-1\), \(0\), and \(1\), we can substitute each x-value into the function:

1. For \( x = -2 \):
\[
y = 5 \left( \frac{1}{4} \right)^{-2} = 5 \left( \frac{4}{1} \right) = 20
\]

2. For \( x = -1 \):
\[
y = 5 \left( \frac{1}{4} \right)^{-1} = 5 \left( \frac{4}{1} \right) = 20
\]

3. For \( x = 0 \):
\[
y = 5 \left( \frac{1}{4} \right)^0 = 5 \cdot 1 = 5
\]

4. For \( x = 1 \):
\[
y = 5 \left( \frac{1}{4} \right)^1 = 5 \cdot \frac{1}{4} = 1.25
\]

Now we have the ordered pairs:
- \( (-2, 20) \)
- \( (-1, 20) \)
- \( (0, 5) \)
- \( (1, 1.25) \)

Based on the options you've provided, the correct ordered pairs from the results are:

**(−2,80) , (−1,20) , (0,5) , and (1,1.25)**
This means that the correct answer from the provided choices is:

**(−2,80), (−1,20), (0,5), and (1,1.25)**