#3**+4 **

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 .

hectictar Apr 6, 2018