Function rules to this equivalent form

Question

write each of the following function rules in equivalent form, y=kx^r: b. -7 time the square root of x, c. y=4/square root of x, d.y=5/x^3, e. y=3/4x^2, f. y=(3x)2

Answer 1

Logan,

 

This question is simply asking that you take information given in each condition b, c, d, e, f (looks like you're missing "a", (was that on purpose?) and write it as

 

y = k·x^r, where k is your constant and r is your exponents.

 

(b) k = -7, r = ½  ⇒  y = -7·x^½

 

(c) k = 4, r = -½  ⇒  y = 4·x^-½

 

(d) k = 5, r = -3  ⇒  y = 5·x^-3

 

(e) k = ¾, r = 2  ⇒  y = ¾·x²

 

(f) k =3, r = 1  ⇒  y = (3·x¹)2

 

In (c) and (d)  I used the property of exponents that 1/x^r  =  x^-r