Question

Consider: f(x)=e^{x-3x^2}

Use the graphs of f' and f''.

1) What does the graph of f’ tell you about:

a) asymptotes for f? (exact values and why?)

b) intervals where f is increasing? where f is decreasing? (exact values and why?)

c) x –values where f has a local minimum? local maximum? absolute

minimum? absolute maximum? (exact values and why?)

2) What does the graph of f” tell you about:

a) concavity of f? (exact values and why?)

b) inflection points? (exact values and why?)

Thank you!

Answer 1