The function ƒ is defined by ƒ(σ) = (−8)(2)° ~~+~~ 22. What is the *y* -intercept of the graph of y = ƒ(σ) in the *xy* -plane? A. (0, 14) B. (0, 2) C. (0, 22) D. (0, −8)
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Answer

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Step 1

The y-intercept of a function is the value of y when x equals 0. In this case, we need to find ƒ(0).

Step 2

ƒ(0)=8(2)0+22ƒ(0) = -8(2)^{0} + 22
Substitute σ = 0 into the function ƒ(σ) = - 8(2)^σ + 22:

Final Answer

The y-intercept of the graph of y = ƒ(σ) is (0, 14), which corresponds to option A.