Question: If you also knew that the function was concave down at the point (5, –1) what type of increasing/decreasing behavior would the function have at x = 5?

Suppose a classmate observes that f "(x) O for a function f. The student concludes that the graph of f is decreasing and has an inflection point at x = c. Do you agree or disagree? Explain.

Which shows the functions correctly listed in order from widest to narrowest graph? O y = (-1/5)x², y = (2/3)x², y = 4x², y = -9x² y = -9x², y = 4x², y = (2/3)x², y = (-1/5)x² Oy = (2/3)x², y = (-1/5)x², y = -9x², y = 4x² O y = (2/3)x², y = (-1/5)x², y = 4x², y = -9x²

The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)