The figure for sample question 2 shows the graph in the x y plane of the function f of x = the absolute value of 2x, end absolute value, + 4. There are equally spaced tick marks along the x axis and along the y axis. The first tick mark to the right of the origin, and the first tick mark above the origin, are both labeled 1. The graph of the function f is in the shape of the letter V. It is above the x axis and is symmetric with respect to the y axis. The lowest point on the graph of f is the point 0 comma 4 on the y axis. Going leftward from the point 0 comma 4 the graph of f is a line that slants upward, passing through the point negative 2 comma 8. Going rightward from the point 0 comma 4 the graph of f is a line that slants upward, passing through the point 2 comma 8. End of figure description.
The figure above shows the graph of the function f defined by f of x = the absolute value of 2x, end absolute value, + 4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f ?
A) g of x = x minus 2
B) g of x = x + 3
C) g of x = 2x minus 2
D) g of x = 2x + 3
E) g of x = 3x minus 2
答案: E
6-7个定量比较问题
例题:
Quantity A
x squared + 1
Quantity B
2x, minus 1
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
A university admitted 100 students who transferred from other institutions. Of these students, 34 transferred from two-year community colleges, 25 transferred from private four-year institutions, and the rest transferred from public four-year institutions. If two different students are to be selected at random from the 100 students, what is the probability that both students selected will be students who transferred from two-year community colleges?