2 years ago

Need some help. :/

1 answer:

4 0

I don’t have any graph paper but on 2x draw a line from the very right to the very left and shade the entire left side. And then on -3 draw a line from the very top to the very bottom and shade the top part. Unless you don’t shade it then don’t do that but that’s what you have to do

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Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of

ser-zykov [4K]

Answer: graph E.

A geometric sequence can be written as:

$a_{n} = a_{1} \cdot r^{(n - 1)}$

where:

a₁ = first term = 4

r = ratio = 0.5

Substituting the numbers, we have:

$a_{n} = 4 \cdot (\frac{1}{2})^{n-1}$

or else

$f(x) = 4 \cdot (\frac{1}{2})^{x - 1}$

This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).

In order to choose between graph B and E, let's evaluate the function in two different points:

$f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4$