Use the function f(x) = 34.2 · 3x to answer the following questions. 1.) What is the domain and range of the function?

2.) What is the initial value of the function?

3.) What would be the rate of change over the interval [2, 4]?

4.) Let f(x) = 3x − 15, g(x) = 4^x, and h(x) = 0.5(6)^x.

a.) Find the rate of change for each over the interval [1, 4].

b.) Which function has the greatest rate of change over that interval?

c.) Which function has the least rate of change over that interval?

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

answer: can you show the options ?

step-by-step explanation: