Polynomial Functions
what are (is) the x value(s) of the graph when y = 0 in this equation: y = (x+2)(x-3)(x+1)
x= -2, 3, and -1
What type of asymptote does this equation have: (x+2)/(x2-24)
asymptote at zero (horizontal)
Evaluate the function when x=3 in this equation y = 5(2)x+2
42
Solve this equation: lim x → 0; x2 - 16/x2 - 3x - 4
4
Complete the square of this equation: 15=3x2+6x+2
0=3(x+1)2-16
What type of asymptote does this equation have: (x3+ 4x+2)/(x2 +3)
Slant asymptote
Find the Domain and range of the following equation y= 5(2)x+2
Domain: (-∞,∞) Range (2, ∞)
Find the equation for the following ellipse → 6x2+ 12y2 + 36x - 24y = -6
(x+3)2/10 + (y + 1)2/5
Which equation could have the zeros (5, -2, and 3) x3-6x2-x+30, x3-4x2-11x-30, or x3+10x2+31x+30
x3-6x2-x+30
Find the x-value of the hole in this equation: (x + 5)(x - 3)/(x - 3)(x - 7)
x = 3
Evaluate the function when x = 7 in this equation y= log(x+3) -4
-3
lim x → -infinity; 20x - 15
-15
what are (is) the x - intercept(s) of value(s) of the graph when y = 0 in this equation: y = x3+6x2-x-30
x= -3, 2, and -5
Find all of the asymptotes, x, and y-intercepts of (x+2)/(x+6)
VA →x = -6 ; HA → y = 1; x-int → x= -2; y-int: y = 2/6 = 1/3
Solve the exponential equation for x: ⅕(10)7x = 13
x=0.258989
find the limit: lim x→ 12; (1/x - 1/12)/x - 12
-1/144
what are (is) the x value(s) of the graph when y = 0 in this equation: y = (x2+1+2)(x+4)
x= -4, (-1+/- √-7)/2
Find the all the asymptotes, x, and y-intercepts of 1/x2 - 16
vertical → x = 4; horizontal → y = 0, x-int →none; y-int → -1/16
Find the log equation with points (-2, -4), (-1,-3), (1,-2)
y= log2(x+3) - 4
Find the center, vertices, and foci points of the hyperbola: (x + 12)2/10 - (y - 5)2/5
center: (-12, 5); vertices: major → (-12 +/- √10, 5) minor → -12, 5 +/- √5); foci points: (-12 +/- √15, 5)