The given function f(x) = 2 log2(x+7) has features including a vertical asymptote, vertical stretching, and horizontal shifting. The graph starts at x = -7, increases to the right, and approaches but never reaches the x-axis.
Function: The given function is f(x) = 2 log2(x+7).
Features: The features of this function can be determined by analyzing its equation. The base of the logarithm is 2, which means that the function will have a vertical asymptote at x = -7.
The coefficient of 2 indicates that the graph will be vertically stretched by a factor of 2 compared to a regular logarithmic function.
The graph will also be shifted 7 units to the left.
Graph: The graph will start at x = -7 and increase to the right. The y-values will be positive, but decreasing as x increases.
The graph will approach but never reach the x-axis.