The graph of f (x) = 6 (0.25) x and its reflection across the y-axis, g (x), are shown. On a coordinate plane, 2 exponential functions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y - axis at (0, 6). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 6). What is the domain of g (x) ? all real numbers all real numbers less than 0 all real numbers greater than 0 all real numbers greater than or equal to 0

Step-by-step exAnswer:

The range of g (x) will be all real numbers less than zero.

Step-by-step explanation:

The graph of and its reflection across the x-axis, g (x), are given.

Now, another function g (x) will be given by ... (1)

Since by reflection across the x-axis the curve will change its y-value only by sign and the x-value remains the same.

Now, g (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0,-0.5) and goes through (2,-3).

Therefore, the range of the equation (1) will be all real numbers less than zero. (Answer)

Domain is all real no. of x

Step-by-step explanation:

f (x) = 6 (0.25^x)

Is defined for all real no. s of x

g (x) is a reflection of f (x) along the y-axis:

g (x) = - f (x) = - 6 (0.25^x)

Also defined for all x