Polynomial Functions
What are the x values 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)/(x^2-24)
Asymptote at zero (horizontal)
Question: Evaluate the following function when x=3
y = 5(2)^x+2
y = 42
What is the shape of this equation:
(x+7)^2/4 +(y-3)^2/2 = 1
elipse
Complete the square of this equation: 15=3x^2+6x+2
0=3(x+1)^2-16
What type of asymptote does this equation have:
(x^3+ 4x+2)/(x^2 +3)
slant asymptote
Evaluate the following function when x = 7
y= log(x+3) -4
y=-3
Solve this equation: lim x → 0; x^2 - 16/x^2 - 3x - 4
4
Which equation could have the zeros (5, -2, and 3)
x^3-6x^2-x+30 x^3-4x^2-11x-30 or x^3+10x^2+31x+30
x^3-6x^2-x+30
Find the x-value of the hole in this equation:
(x + 5)(x - 3)/(x - 3)(x - 7)
x=3
Find the domain and range of the following equation y=5(2)^x+2
domain(-∞, ∞)
range (2, ∞)
Find the standard form equation for the following ellipse → 6x^2+12y^2+36x-24y = -6
Answer: (x+3)^2 /10 + (y + 1)^2 /5
What are (is) the x - intercept(s) of value(s) of the graph when y = 0 in this equation: y = x^3+6x^2-x-30
x = -3, 2, and -5
Find all of the asymptotes, x, and y-intercepts of this equation: (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=0.258988
lim x → -infinity; 20^x - 15
-15
What are (is) the x value(s) of the graph when y = 0 in this equation: y = (x^2+1+2)(x+4)
x = -4, (-1+/- √-7)/2
Find the all the asymptotes, x, and y-intercepts of the equation: 1/(x^2 - 16)
VA: x=4 and -4
HA: 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)