What is the domain of f(x)=(1/2)^x
o a. x< 0
b. all real numbers
c. x> 0
o d. y> 0

B.  All real numbers

Step-by-step explanation:

Given:

The function is given as:

Domain is the input to a function represented by the values of 'x'. The domain defined a function's output which is also called as the range of the function.

The above function is an example of an exponential function. An exponential function is of the form:

Where, 'a' is any number greater than 0.

Here,

The domain of an exponential function is not restricted and includes all real values. But, the range of an exponential function is always a positive number.

Hence, the domain of the given exponential function is not restricted and include all real numbers. So, option B is correct.

A graph of an exponential function is attached to support the answer.

which expression represents the approximate length of bc?

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)