On a coordinate plane, 2 curves are shown. The first curve f (x) opens up and to the right in quadrant 1. It goes through (4, 2), (1, 4), and crosses the y-axis at (0, 5). The second curve g (x) opens down and to the right and goes through (4, negative 2), (1, negative 4), and crosses the y-axis at (0, negative 5). Which function represents a reflection of f(x) = 5(0.8)x across the x-axis? g(x) = 5(0.8)–x g(x) = –5(0.8)x g(x) = One-fifth(0.8)x g(x) = 5(–0.8)x

g(x) = –5*(0.8)^x

Step-by-step explanation:

In order to get the reflection of a function across the x-axis, you have to multiply that function by (-1)

Given the function:

f(x) = 5*(0.8)^x

then, its reflection across the x-axis is -f(x) = g(x) = –5*(0.8)^x. This result can be checked replacing the known points into the equation, as follows:

x |  g(x)

0 | –5*(0.8)^0 = -5

1  | –5*(0.8)^1 = -4

4 | –5*(0.8)^4 = -2

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: