Exponential function: f(x) = 5 ∗ 1. Make the table of values with at least 5 points.
2. Graph the function
3. Is the function increasing or decreasing?
4. What is the domain and range of the function?

Logarithmic function: g(x) = log3 + 2
1. Make the table of values with at least 5 points.
2. Graph the function
3. Is the function increasing or decreasing?
4. What is the domain and range of the function?

See below.

(I only answered the first one b/c the second log function doesn't really make sense, sorry!)

Step-by-step explanation:

1. f(x) = 5 ×

Plug in 5 points.

x = -2, f(x) =

x = -1, f(x) =

x = 0, f(x) = 5

x = 1, f(x) = 15

x = 2, f(x) = 45

2. Attached below.

3. Increasing

4. Domain: x = all real numbers

Range: f(x) > 0 (because the line never goes below the x-axis)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2