Question

consider the graphs of the functions f(x)=10x and g(x)= log x. describe the relationship between these functions

Answer 1

The functions f(x) = 10x and g(x) = log x have different graph shapes and behaviors. The graph of f(x) is a straight line with a positive slope, while the graph of g(x) is a curve that approaches positive infinity as x increases.

Step-by-step explanation:

The relationship between the functions f(x) = 10x and g(x) = log x can be described in terms of their graphs. The graph of f(x) = 10x is a straight line passing through the origin with a slope of 10. As x increases, the values of f(x) also increase at a steady rate. On the other hand, the graph of g(x) = log x is a curve that starts at (1,0) and approaches positive infinity as x approaches infinity. The values of g(x) increase at a decreasing rate as x increases.

Answer 2

Function f is an exponential function with a base of 10, and function g is a logarithmic function with a base of 10. These two functions are inverse functions. The values in the domain of function f are the values in the range of function g, and the values in the range of function f are the values in the domain of function g. The graph of function g is the graph of function f reflected over the line y=x The two functions have similar, but inverse, features. For example, function f has a horizontal asymptote of y=0 and crosses the y-axis at (0,1) while function g has a vertical asymptote at x=0 and crosses the x-axis at (1,0)

Step-by-step explanation:

Plato answer