Find the x and y - intercepts for f(x) = x3 +1

The y intercept is 0

The x intercept is -1

Step-by-step explanation:

To find the y intercept set x = 0 and solve for y

y =x^3 +1

y = 0+1

y =1

The y intercept is 0

To find the x intercept set y = 0 and solve for x

0 = x^3 +1

Subtract 1 from each side

-1 = x^3

Take the cube root of each side

(-1) ^ 1/3 = x^3^1/3

-1 =x

The x intercept is -1

47

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.