Question

Please do both

(20) The supply function for an item is given ( in dollars) by S(g) = (q +1)2 1000 The demand function is D(g) = ( 12 pts total) 9+1 (Showing work is optional) (6 pts) (a) Graph both functions below.

Answer 1

To graph the supply function S(g) = (q + 1)^2 * 1000 and the demand function D(g) = 9 + q, we can plot points and connect them to form the graphs.

First, let's create a table of values for both functions to plot the points:

For the supply function:
q | S(g)
--------------
-3 | 4,000
-2 | 2,000
-1 | 1,000
0 | 0
1 | 1,000
2 | 4,000
3 | 9,000

For the demand function:
q | D(g)
--------------
-3 | 6
-2 | 7
-1 | 8
0 | 9
1 | 10
2 | 11
3 | 12

Now, let's plot these points on a graph:

For the supply function, the points are:
(-3, 4,000), (-2, 2,000), (-1, 1,000), (0, 0), (1, 1,000), (2, 4,000), (3, 9,000)

For the demand function, the points are:
(-3, 6), (-2, 7), (-1, 8), (0, 9), (1, 10), (2, 11), (3, 12)

Now we can connect the points with smooth curves to obtain the graphs of the supply and demand functions.

The graph of the supply function S(g) is an upward-opening parabola that passes through the points (-3, 4,000), (-2, 2,000), (-1, 1,000), (0, 0), (1, 1,000), (2, 4,000), (3, 9,000).

The graph of the demand function D(g) is a linear function represented by a straight line that passes through the points (-3, 6), (-2, 7), (-1, 8), (0, 9), (1, 10), (2, 11), (3, 12).