Which of the following could be an example of a function with a domain
(-infinity, infinity) and a range (-infinity, 4)? check all that apply.

a. y= - (3)^x - 4
b. y= - (0.25)^x+ 4
c. y= - (3)^x+4
d. y= - (0.25)^x - 4

B. y= - (0.25)^x+ 4

C. y= - (3)^x+4

Step-by-step explanation:

There is no impediment in an exponential function, so all of the have the domain (-infinity, infinity).

In an exponential function in the following format:

The range is (-infinity, b).

So these following functions apply:

B. y= - (0.25)^x+ 4

C. y= - (3)^x+4

A and D have ranges from negative infinity to negative four.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240