“in a function every vertical line must intersect the graph in exactly one point “ explain your friends error

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

33 ! use the following data to determine the type of function (linear, quadratic, exponential) that best fits the data set. (1, 2) (5, 7) (9, 8) (3, 4) (4, 5) (2, 3)

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec