QQuestionMathematics
QuestionMathematics
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} + 22
Substitute σ = 0 into the function ƒ(σ) = - 8(2)^σ + 22:
Step 3:
ƒ(0) = -8(1) + 22
Calculate 2^0:
Step 4:
ƒ(0) = -8 + 22
Multiply:
Step 5:
ƒ(0) = 14
Add:
Final Answer
The y-intercept of the graph of y = ƒ(σ) is (0, 14), which corresponds to option A.
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