Which function has the greatest slope?
f(x)
The slopes are the same
g(x)
You cannot tell the slope from a graph
Same steepness, but one is positive and one is negative
You cannot tell the slope from a graph.
To determine which function has the greatest slope, we can look at the steepness of the individual functions.
If all the functions are represented by a graph, we can compare the slopes by looking at the steepness of the lines. The steeper the line, the greater the slope.
If the slopes are the same, the functions would have lines with equal steepness.
If one function has a positive slope and another has a negative slope, we can compare the magnitudes of their slopes. The function with the larger magnitude of slope (i.e., steeper line) would have the greatest slope.
However, without specific information or a visual representation of the functions, it is not possible to determine which function has the greatest slope.