Intercepts
The y-intercept of the following function:
f(x) = (x2+6x-4)/(x2-3x+2)
What is... (0, -2)
The vertical asymptote of the function...
f(x) = 2/(x+4)
What is... x =-4
Factor: x2-12x+20
What is... (x-10)(x-2)
An equation that has an x-intercept at x = 3 and a vertical asymptote at x = -4.
What is... (x-3)/(x+4)
The next term in the sequence 27, 9, 3, 1/3...
What is 1/9
The x-intercept(s) of the following function:
f(x) = (x-3)(x+4)/(x+2)(x-1)
What is...
(3, 0) and (-4, 0)
The horizontal asymptote of the function:
f(x) = (x2-4x+3)/(2x^2-5x+6)
What is...y = 1/2
Factor: x2-49
What is...(x+7)(x-7)
An equation that has a vertical asymptote at x = -2, x-intercept at x =3, and a hole at x = 2.
What is... (x-3)(x-2)/(x-2)(x+2)
What is the y-intercept of the function:
x4+6x3-8x2-11
What is... (0, -11)
The x-intercept(s) of the following function...
f(x) = (x2-4)/(x2+2x-3)
What is...(-2, 0) and (2, 0)
Identify the vertical asymptote of the function:
f(x)= (x2+x-12)/(x2-9)
What is...x = 3, -3
*Will accept just x = -3, where x = 3 is a hole.
Factor...2x2-12x+16
What is...2(x-4)(x-2)
An equation that has a horizontal asymptote at y = -1, a vertical asymptote at x = -4, x-intercept at x =4, and a hole at x = 1.
What is... -(x-4)(x-1)/(x+4)(x-1)
Use the quadratic formula to find the solutions to the following function:
3x2+10x+8
Identify the y-intercept of the following function:
f(x) = (x-2)(x-1)/(x+3)(x-4)
What is...(0, -1/12)
Identify the horizontal asymptote of the following function:
f(x) = (5x-3)(2x+1)/(x-1)(3x+4)
What is... y = 10/3
Factor...2x2-32
What is...2(x+4)(x-4)
An equation that has a horizontal asymptote at y = 0, a vertical asymptote at x = 2, x-intercept at x =3, and a hole at x = -6.
What is...(x-3)(x+6)/(x+6)(x-2)2
If r is a geometric sequence with the following: r(1) = 3 and r(2) = 12, write a definition for the nth term of r.
What is...
r(n) = 3*4(n-1)
The x-intercept(s) of the following function:
f(x) = (x3+x2-20x)/(x2-16)
What is...
(0, 0), (-5, 0), and (4, 0)
*(4, 0) as a hole is an acceptable answer as well!
Identify the horizontal and vertical asymptote of the following function:
f(x) = (x-4)/(8x2+32x-40)
Horizontal Asymptote: y = 0
Vertical Asymptote: x=-5, 1
Factor: 9x2+90x-99
An equation that does not have a horizontal asymptote, has a vertical asymptote at x = 1, x-intercept at x =4, and a hole at x = 3.
What is...f(x) = (x-4)(x-3)2/(x-3)(x-1)
Solve for x.
2(x-3)2-5=45
What is... x = 8, -2