Graph f(x) = 2 3√x +1. identify the domain and range of the function.

Domain is All Real Numbers, Range is All Real Numbers

Step-by-step explanation:

2∛x + 1

Domain is the restriction on the x-value.  Since it is a cube root, the radical can be negative so there is no restriction on x.

Range is the restriction on the y-value.  Since there is no restriction on x and there is no denominator, there is no restriction on y.

Graph:

Consider the parent graph f(x) = ∛x.  The new graph is a stretch of 2 and a vertical shift up 2 units.

If you re not familiar with transformations, you can make a table and plot the points:

4

step-by-step explanation:

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6