Consider f(x) = bWhich statement(s) are true for 0 < b < 1? Check all that apply.
The domain is all real numbers.
0 The domain is x > 0.
The range is all real numbers
The range is y> 0.
0 The graph has x-intercept 1.
The graph has a y-intercept of 1.
0 The function is always increasing.
0 The function is always decreasing

The domain is all real numbers.

The graph has a y-intercept of 1

The range is y>0

The function is always decreasing

Step-by-step explanation:

Assuming the given function is

for

Then f(x) is an exponential decay function.

This means that, the domain will be all real numbers.

The range will be y>0

The y-intercept is (0,1)

There is no x-intercept.

The graph is a decreasing function.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is