Which expression could be used to find the volume of the prism shown below? 10 4 12 (4x12)x10 (4+12)x10 (10 +12)x12 (10+12)x4
1 answer:
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Answer:
The correct option is D
Step-by-step explanation:
We have been given a piecewise function such that:
- When x is less than 1, the value of the function f(x) is equal to x. Which means the when x =0, f(x) = 0, when x= -1, f(x) = -1 , when x=-5, f(x) = -5, and so one, as far as x is less than one. It means that the graph of this part is a linear increases/decreases which show the relationship bet f(x) and y.
- When x is equals to or greater than 1, the value of f(x) becomes constants that is 1. Hence, at x=1 and after that, the graph neither increases or decreases, as it becomes a straight line at y=1.
Graph of the piecewise function is shown, it matches option D.
The exponential function is
Step-by-step explanation:
The form of the exponential function is , where
- a is the value of y when x = 0
- b is the rate of change
∵ The form of the exponential function is
∵ The function goes through points (0 , 12) and (2 , 768)
- Substitute the coordinates of the first point to find the value of a
∵ x = 0 and y = 12
∴
∵
∴ 12 = a(1)
∴ a = 12
Substitute the value of a in the form of the function
∴
- Substitute the coordinates of the second point to find the value of b
∵ x = 2 and y = 768
∴
- Divide both sides by 12
∴ 64 = b²
- Take √ for both sides
∴ b = 8
- Substitute the value of b in the form of the function
∴
The exponential function is
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
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