Question

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

Answer 1

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

Answer 2

Answer:

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)