l f(x)=3^x

f(x)=3^x

With the function that you entered of f(x)=3^x, plot points, determine the intercepts, domain, range

Determine function type:

Since we have a number raised to a variable:
this is an exponential function

Now Plot points from 10 to -10

x	Plug in x	f(x) = 3^x	Ordered Pair
-10	3^-10	1.693508780843E-5	(-10, 1.693508780843E-5)
-9	3^-9	5.0805263425291E-5	(-9, 5.0805263425291E-5)
-8	3^-8	0.00015241579027587	(-8, 0.00015241579027587)
-7	3^-7	0.00045724737082762	(-7, 0.00045724737082762)
-6	3^-6	0.0013717421124829	(-6, 0.0013717421124829)
-5	3^-5	0.0041152263374486	(-5, 0.0041152263374486)
-4	3^-4	0.012345679012346	(-4, 0.012345679012346)
-3	3^-3	0.037037037037037	(-3, 0.037037037037037)
-2	3^-2	0.11111111111111	(-2, 0.11111111111111)
-1	3^-1	0.33333333333333	(-1, 0.33333333333333)
0	3⁰	1	(0, 1)
1	3¹	3	(1, 3)
2	3²	9	(2, 9)
3	3³	27	(3, 27)
4	3⁴	81	(4, 81)
5	3⁵	243	(5, 243)
6	3⁶	729	(6, 729)
7	3⁷	2187	(7, 2187)
8	3⁸	6561	(8, 6561)
9	3⁹	19683	(9, 19683)
10	3¹⁰	59049	(10, 59049)

Determine the y-intercept:

The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 1

Determine the x-intercept

The x-intercept is found when y is set to 0
The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0

Determine the domain of the function:

The domain represents all values of x that you can enter
The domain is (-∞, ∞) or All Real Number

Determine the range of the function:

The range is all the possible values of y or f(x) that can exist
The range is (0, ∞) or All Positive Real Numbers

(-10, 1.693508780843E-5)
(-9, 5.0805263425291E-5)
(-8, 0.00015241579027587)
(-7, 0.00045724737082762)
(-6, 0.0013717421124829)
(-5, 0.0041152263374486)
(-4, 0.012345679012346)
(-3, 0.037037037037037)
(-2, 0.11111111111111)
(-1, 0.33333333333333)
(0, 1)
(1, 3)
(2, 9)
(3, 27)
(4, 81)
(5, 243)
(6, 729)
(7, 2187)
(8, 6561)
(9, 19683)
(10, 59049)

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