A polynomial function can be written as (x + 2)(x + 3)(x − 5). What are the x-intercepts of the graph of this function? (2, 0), (3, 0), (−5, 0)
(−2, 0), (−3, 0), (5, 0)
(2, 0), (3, 0), (5, 0)
(−2, 0), (−3, 0), (−5, 0)

9514 1404 393

  (b)  (−2, 0), (−3, 0), (5, 0)

Step-by-step explanation:

The x-intercepts are the points where the factors are zero. The x-value will be the opposite of the constant in the binomial factor.

  x+2 = 0   ⇒   x = -2

  x+3 = 0   ⇒   x = -3

  x-5 = 0   ⇒   x = 5

The x-intercepts are (−2, 0), (−3, 0), (5, 0).

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.