Part 1: The table below displays a small portion of the infinite domain of the exponential function y = 2 x . Use the values for the domain to determine its corresponding range.

x -2 -1 0 1 2
y

Part 2:
Graph the exponential function y = 2 x . using the table from Part 1.

Part 3:

A. In the table of domain and range values, we used -2 as our minimum x-value. Are there values of x for the function that are less than -2?
B. Locate the smallest y-value on your table. Compare it with the y-values of your graph. Is the table a complete representation of the range of the function?
C. Is there a limit to the minimum or maximum values of x? Is there a limit to the minimum or maximum values of y?

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230

b

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3