Which best describes the range of the function f(x) = { 0)* after it has been reflected over the x-axis? all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0

all real numbers less than 0

Step-by-step explanation:

In the picture attached, the question is shown.

The function described is an exponential decay with the form:

y = ab^x

where a = 2 and b = 1/4

The range of an exponential decay function is all real numbers greater than 0. This means that after f(x) has been reflected over the x-axis its range is all real numbers less than 0.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

x=0

step-by-step explanation: