Lesson 3.6 (Continued) Graphing Exponential Functions : Graphing
Exponential Functions 2 Initial value Horizontal Asymptote :
Graphing Exponential Functions Guided Practice Example 1 Create a
table of values for the exponential function f(x) = 1(3) x 2.
Identify the asymptote and y-intercept of the function. Plot the
points and sketch the graph of the function, and describe the end
behavior : Graphing Exponential Functions Guided Practice: Example
1, continued 1.Create a table of values. Choose values of x and
solve for the corresponding values of f(x) : Graphing Exponential
Functions xf(x)f(x) Guided Practice: Example 1, continued
2.Identify the asymptote of the function. The asymptote of the
function is always the constant, k. In the function f(x) = 1(3) x
2, the value of k is 2. The asymptote of the function is y = ____ :
Graphing Exponential Functions Guided Practice: Example 1,
continued 3.Determine the y-intercept of the function. The
y-intercept of the function is the value of f(x) when x is equal to
0. It can be seen in the table that when x = 0, f(x) = 3. The
y-intercept is (0, ____) : Graphing Exponential Functions Guided
Practice: Example 1, continued 4.Graph the function. Use the table
of values to create a graph of the function : Graphing Exponential
Functions Guided Practice: Example 1, continued 5.Describe the end
behavior of the graph. As x +, y ____ As x -, y ____ : Graphing
Exponential Functions Guided Practice Example 2 Create a table of
values for the exponential function. Identify the asymptote and
y-intercept of the function. Plot the points and sketch the graph
of the function, and describe the end behavior : Graphing
Exponential Functions Guided Practice: Example 2, continued
1.Create a table of values. Choose values of x and solve for the
corresponding values of f(x) : Graphing Exponential Functions
xf(x)f(x) 2 Guided Practice: Example 2, continued 2.Identify the
asymptote of the function. The asymptote of the function is always
the constant, k. In the function, the value of k is 3. The
asymptote of the function is y = ____ : Graphing Exponential
Functions Guided Practice: Example 2, continued 3.Determine the
y-intercept of the function. The y-intercept of the function is the
value of f(x) when x is equal to 0. It can be seen in the table
that when x = 0, f(x) = -7. The y-intercept is (0, ____) : Graphing
Exponential Functions Guided Practice: Example 2, continued 4.Graph
the function. Use the table of values to create a graph of the
function : Graphing Exponential Functions Guided Practice: Example
2, continued 5.Describe the end behavior of the graph. As x +, y
____ As x -, y ____ : Graphing Exponential Functions Guided
Practice Example 3 Create a table of values for the exponential
function f(x) = 1(2) x 3. Identify the asymptote and y-intercept of
the function. Plot the points and sketch the graph of the function,
and describe the end behavior : Graphing Exponential Functions
Guided Practice: Example 3, continued 1.Create a table of values.
Choose values of x and solve for the corresponding values of f(x) :
Graphing Exponential Functions xf(x)f(x) Guided Practice: Example 3
continued 2.Identify the asymptote of the function. The asymptote
of the function is always the constant, k. In the function f(x) =
1(2) x 3, the value of k is 3. The asymptote of the function is y =
____ : Graphing Exponential Functions Guided Practice: Example 3,
continued 3.Determine the y-intercept of the function. The
y-intercept of the function is the value of f(x) when x is equal to
0. It can be seen in the table that when x = 0, f(x) = 4. The
y-intercept is (0, ___) : Graphing Exponential Functions Guided
Practice: Example 3, continued 4.Graph the function. Use the table
of values to create a graph of the function : Graphing Exponential
Functions Guided Practice: Example 3, continued 5.Describe the end
behavior of the graph. As x +, y ____ As x -, y ____ : Graphing
Exponential Functions Your turn Asymptote: y-intercept: Domain:
Range: End behavior: Asymptote: y-intercept: Domain: Range: End
behavior:
