Exponential function: f(x) = 5 ∗ 3^(x) 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 doma…

Question

Exponential function: f(x) = 5 ∗
`3^(x)`

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?

Answer 1

See below.

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

Explanation:

1. f(x) = 5 ×
`3^(x)`

Plug in 5 points.

x = -2, f(x) =
`(5)/(9)`

x = -1, f(x) =
`(5)/(3)`

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)