Question

drag the values to the correct locations on the image. not all values will be used.

function \\(f\\) is a logarithmic function with a vertical asymptote at \\(x = \square\\) and an \\(x\\)-intercept at \\((4, 0)\\). the function is decreasing over the interval \\((0, \infty)\\).

function \\(g\\) is represented by the equation \\(g(x) = \log_2(x + 3) - 2\\).

over which interval are both functions positive?

\\((\square, \square)\\)

\\(-\infty\\) 1 4 2 \\(\infty\\) 0

Explanation:

Determine the vertical asymptote of function f

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$$

Find where function f is positive

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$$

Find where function g is positive

$$
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$$

Answer:

Question 1

Function \(f\) is a logarithmic function with a vertical asymptote at \(x =\) <blank>0</blank> and an \(x\)-intercept at \((4, 0)\). The function is decreasing over the interval \((0, \infty)\).

Question 2

Function \(g\) is represented by the equation \(g(x) = \log_2(x + 3) - 2\).

Over which interval are both functions positive?

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