Graphing Logarithmic Functions Answers

What is the inverse of the logarithmic function f(x) = log2x?

The point (–1, 0.5) lies on the graph of f –1(x) = 2x. Based on this information, which point lies on the graph of f(x) = log2x?

a = b = c =

On a coordinate plane, a logarithmic functions intercepts the y-axis at (0, 1). On a coordinate plane, a logarithmic function goes through (0, 2.5) and (1.5, 0).

The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. What values of a, b, and c complete the table for the inverse function? x −2 −1 0 1 2 y 4 a b 0.5 c a = b = c =

There is no power of 4 that is equal to 0.There is no power of 4 that is equal to 1.Its inverse does not have any x-intercepts.Its inverse does not have any y-intercepts.

Both have a y-intercept of 1.Both increase from left to right.Both have an asymptote of x = 0.Both have a domain of all real numbers.

Which point do the graphs of f and g have in common? (, )

The graph of f(x) = log x + 3 is the graph ofg(x) = log x translated 3 units ✔ up.down.to the right.to the left.

The graph of f(x) = −log x is a of the graph of g(x) = log x.

a = b = c =

⇒ 1.

In the problems below, f(x) = log2x and g(x) = log10x. How are the graphs of f and g similar? Check all that apply.

If you are given the graph of g, how could you graphf(x) = log x + 3?For each point on the graph of g, add 3 to the x-coordinate.✔ add 3 to the y-coordinate.subtract 3 from the x-coordinate.subtract 3 from the y-coordinate.

Graph the pH function using the graphing utility. Then answer the questions.What is the pH of lemon juice that has a hydrogen ion concentration of 0.01 moles per liter?The pH is .

✔ f(x) approaches negative infinityf(x) approaches 0f(x) approaches infinity

Which is the graph of f(x) = log x + 3?

What is the hydrogen ion concentration of orange juice that has a pH of 1?

f(x) approaches negative infinityX f(x) approaches 0✔ f(x) approaches infinity

✔ fgX They increase at the same rate.