1、GRE（ QUANTITATIVE）综合模拟试卷 10及答案与解析 0 In the xy-plane, find the following. (a)Slope and y-intercept of the line with equation 2y + x = 6 (b)Equation of the line passing through the point(3, 2)with y-intercept 1 (c)The y-intercept of a line with slope 3 that passes through the point(-2,1) (d)The x-inte
2、rcepts of the graphs in(a),(b), and(c) 4 For the parabola y = x2- 4x - 12 in the xy-plane, find the following. (a)The x-intercepts (b)The y-intercept (c)Coordinates of the vertex 7 For the circle(x - l)2 +(y + l)2= 20 in the xy-plane, find the following. (a)Coordinates of the center (b)Radius (c)Are
3、a 10 For each of the following functions, give the domain and a description of the graph y = f(x)in the xy-plane, including its shape, and the x- and y-intercepts.(a)f(x)= -4(b)f(x)= 100-900x(c)f(x)= 5 -(x + 20)2(d)f(x)= (e)f(x)= x + x GRE（ QUANTITATIVE）综合模拟试卷 10答案与解析 1 【正确答案】 Slope: ; y-intercept:
4、3 2 【正确答案】 3 【正确答案】 7 4 【正确答案】 6,-3, 5 【正确答案】 x = -2 and x = 6 6 【正确答案】 y=-12 7 【正确答案】 (2,-16) 8 【正确答案】 (1,-1) 9 【正确答案】 10 【正确答案】 20 11 【正确答案】 Domain: the set of all real numbers. The graph is a horizontal line with y-intercept -4 and no x-intercept. 12 【正确答案】 Domain: the set of all real numbers. Th
5、e graph is a line with slope -900, y-intercept 100, and x-intercept1/9. 13 【正确答案】 Domain: the set of all real numbers. The graph is a parabola opening downward with vertex at(-20, 5), line of symmetry x = -20, y-intercept -395, and x-intercepts 20 . 14 【正确答案】 Domain: the set of numbers greater than
6、or equal to -2. The graph is half a parabola opening to the right with vertex at(-2, 0), x-intercept -2, and y-intercept . 15 【正确答案】 Domain: the set of all real numbers. The graph is two half-lines joined at the origin: one half-line is the negative x-axis and the other is a line starting at the origin with slope 2. Every nonpositive number is an x-intercept, and the y-intercept is 0.
