+9466 I THINK the graph of y = f(x) looks something like this.....
f’(0) = 0 so when x = 0 the slope of f(x) is 0
f’(1) = 3 so when x = 1 the slope of f(x) is 3
f’(3) = 1 so when x = 3 the slope of f(x) is 1
When x is between 0 and 1 the slope is smaller, closer to zero, than it is when x = 1 .
Notice that there is a value between 0 and 1 that also makes the slope be 1 .
When x is greater than 1 the slope is closer to zero than it is when x = 1 .
f’(-1) = -3 so when x = -1 the slope of f(x) is -3
f’(-3) = -1 so when x = -3 the slope of f(x) is -1
When x is between 0 and -1 the slope is closer to zero than it is when x = -1 .
When x is less than -1 the slope is closer to zero than it is when x = -1 .
