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sineoko [7]
2 years ago
7

What is the function?

Mathematics
2 answers:
Jet001 [13]2 years ago
8 0

Answer:

C. f(x)= 0.5(3ˣ)

Step-by-step explanation:

C. f(x)= 0.5(3ˣ) is the function as per table

sineoko [7]2 years ago
5 0

Answer:

C

Step-by-step explanation:

For the exponential function in the form

y = a b^{x}

Use ordered pairs from the table to find a and b

Using (0, 0.5 ), then

0.5 = a b^{0} ( b^{0} = 1 ), thus

0.5 = a

y = 0.5 b^{x}

Using (1, 1.5 ) , then

1.5 = 0.5 b^{1} , hence

b = \frac{1.5}{0.5} = 3

Thus

f(x) = 0.5(3^{x}) → C

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Step-by-step explanation:

Let us revise the reflection and translation of a function

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f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

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∴ f(x) is reflected about the x-axis

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∵ The vertex of f(x) is (0, 0)

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