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2 years ago

Find the equation of the exponential function represented by the table below:

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

Answer:

y = 0.1(4^x)

Step-by-step explanation:

An exponential function can be written as ...

y = a(b^x)

where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.

The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...

y = 0.1(4^x)

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sertanlavr [38]

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2 years ago

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Mumz [18]

Step-by-step explanation:

Part A: Linear Equation.

One of the points is (0,15). This means 0,15 is the y intercept so b=15.

We can find the slope

$\frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10$

So our equation is

$y = - 10x + 15$

Part B: Exponential Equation

We know that

$15 = a \times b {}^{0}$

B to the zero power is 1 so

$15 = a$

This means a =15. Now let find b.

$5 = 15 \times b {}^{1}$

$\frac{1}{3} = b$

So the equation is

$y = 15( \frac{1}{3} ) {}^{x}$

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2 years ago

F(x) = 3x² - 6x +5 find x intercepts

8090 [49]

Answer: there aren't any x intercepts.

Step-by-step explanation:

The function doesn't touch the x-axis only the y-axis giving that there aren't any x intercepts. The y intercepts is (0,5).

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ss7ja [257]

I'm pretty sure it is b 75

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2 years ago

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Artemon [7]

Vertical Asimtote: (x-3) this will be the denominator

Horizontal Asymtote: (x-1)^2 (x+3) this will be the numerator

y= a (x-1)^2 (x+3) / (x-3)

Vertical: (x-1/2)

Horizontal: (x-3)

y= a (x-1/2)/(x-3)

I hope this helped?

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2 years ago

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