Richie and saul are conducting a survey on the most popular board games played by students at their high school. richie interviews 25 boys from grades 9 through 12 and concludes that card games are the most popular among high school students. saul speaks with 20 students, including girls and boys, from grades 9 through 12 and concludes that word games are the most popular among high school students. whose generalization is valid? why? the generalization made by is valid because he included

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.