Provide an appropriate response.Does the graph of f(x) = 
have a tangent at the origin? Give reasons for your answer.
What will be an ideal response?
The graph does not have a tangent at the origin. The slope of the tangent lines as x approaches 0 from the left is -2, whereas the slope of the tangent lines as x approaches 0 from the right is 1. Since the one-sided limits are not equal, then, according to the limit definition of the slope of the tangent line, no tangent line exists.
You might also like to view...
Use the at least once rule to find the indicated probability.Find the probability of at least one club when you draw cards from a standard deck 11 times; assume that you replace the card each time you draw , so there are always 52 cards to draw from.
A. 0.042 B. 0.585 C. 0.958 D. 0.014
Reduce the fraction to simplest form.
A. 
B. - 
C. 
D. 
Write the ratio in fractional notation in lowest terms.22 days to 8 weeks
A. 
B. 
C. 
D. 
Use the formula for Sn to find the sum for the geometric sequence.
A. 10,280 B. 5456 C. 272 D. 1360