Mathematics, 15.07.2019 18:00 SlickDrip

The equation below represents the function p. the graph below represents the function q. complete the following sentences to compare the end behavior of the two functions. 1 tablet option are: less than grather than the same as 2 tablet option are: grather than the same as less than

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1)Tthe first answer is that as x increases the value of p(x) approaches a number that is greater than q (x).

2) the y-intercept of the function p is greater than the y-intercept of the function q.

Explanation:

1) Value of the functions as x increases.

Function p:

$p(x)= ( \frac{2}{5} )^{x} -3$

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 = -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of p(x) approaches a number that is greater than q (x).

2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

Answer from: Quest

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6 = 0.00000180

1.80 x 10-4 = 0.000180 (bigger, or "less small", than the former one)

1.8 x 10-2 = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

Answer from: Quest

the answer to your question is c.) volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation:

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