Which ordered pairs lie on the graph of the exponential function f(x)=128(0.5)^x ? Choose ALL correct answers.

A.
(0, 1)

B.
(1, 64)

C.
(3, 16)

D.
(8, 0.5)

B and C? someone please help

Answers are:

B. (1,64) and

C. (3,16)
Hope this helps

To determine which ordered pairs lie on the graph of the exponential function f(x) = 128(0.5)^x, we can substitute the x-values from each pair into the function and check if the resulting y-values match the given y-values.

Let's check each option one by one:

A. (0, 1)
Substituting x = 0 into the function: f(0) = 128(0.5)^0 = 128(1) = 128
The y-value is 128, which does not match the given y-value of 1. Therefore, this point does not lie on the graph.

B. (1, 64)
Substituting x = 1 into the function: f(1) = 128(0.5)^1 = 128(0.5) = 64
The y-value is 64, which matches the given y-value of 64. Therefore, this point lies on the graph.

C. (3, 16)
Substituting x = 3 into the function: f(3) = 128(0.5)^3 = 128(0.125) = 16
The y-value is 16, which matches the given y-value of 16. Therefore, this point lies on the graph.

D. (8, 0.5)
Substituting x = 8 into the function: f(8) = 128(0.5)^8 = 128(0.00390625) = 0.5
The y-value is 0.5, which matches the given y-value of 0.5. Therefore, this point lies on the graph.

Therefore, the correct answer is B. (1, 64), C. (3, 16), and D. (8, 0.5).

To determine which ordered pairs lie on the graph of the exponential function f(x)=128(0.5)^x, we need to substitute the x-values into the function and compare the resulting y-values.

Let's check each option one by one:

A. (0, 1):
Substituting x = 0 into the function:
f(0) = 128(0.5)^0 = 128(1) = 128.
The y-value is 128, not 1. So, this option is incorrect.

B. (1, 64):
Substituting x = 1 into the function:
f(1) = 128(0.5)^1 = 128(0.5) = 64.
The y-value is indeed 64, which matches the ordered pair (1, 64). So, this option is correct.

C. (3, 16):
Substituting x = 3 into the function:
f(3) = 128(0.5)^3 = 128(0.125) = 16.
The y-value is 16, which matches the ordered pair (3, 16). So, this option is correct.

D. (8, 0.5):
Substituting x = 8 into the function:
f(8) = 128(0.5)^8 = 128(0.00390625) = 0.5.
The y-value is indeed 0.5, which matches the ordered pair (8, 0.5). So, this option is correct.

Therefore, the correct answers are B. (1, 64), C. (3, 16), and D. (8, 0.5).

B yes

C 128(0.5)^3
128*.125 = 16 yes

D 128*.5^8
= 128* .00390525 = 0.5 YES !!!!!