Show work and explain.

growth or decay?

y-intercept?

domain:

range:

 Decay, y-intercept = 10, D: x is All Real Numbers, R: y > 0

Step-by-step explanation:

y = 10(0.5)ˣ

     ↓

    represents the y-intercept (when x = 0, y = 10(0.5)⁰ = 10)

y = 10(0.5)ˣ

           ↓    

           If >1, represents growth.  If <1, represents decay.

Domain: There are no restrictions on x so x is All Real Numbers (-∞, ∞)

Range: No matter what value x is, y has to be greater than 0 (0, ∞)

We can also show this algebraically:

    y = 10(0.5)ˣ

log y = log 10(0.5)ˣ

     ↓

    y > 0   because you cannot take the log of 0 or a negative value

See graph

Step-by-step explanation:

damm bro the struggle

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,