The number of zeros and the least possible degree for a polynomial function whose graph crosses the x-axis 3 times and touches it once
What are 4 zeros and degree 5?
100
The name given to a line such as x =2 in the graph of y = 2/(x - 2)
What is a vertical asymptote?
100
As an exponential equation log(base 4) of 8 = x would be
What is 4^x = 8?
100
A system of equations that has many solutions is a(n) ____________ system and the solutions are ______________
What are consistent and dependent?
200
The minimum or maximum of a parabola
What is the vertex of a parabola?
200
The potential rational zeros for
f(x) = 3x^3 - 5x^2 + 2x - 4
What are +/- ( 1,2,4, 1/3, 2/3, 4/3)?
200
The intercepts for
f(x) = (12x^2 - x - 6)/(x + 1)
What are (-2/3, 0) and (3/4, 0), (0, -6)?
200
The values of a in the function
f(x) = a^x
What is a>0, a not equal to 1?
200
The solution to this system of equations
2x - 3y = -1;
10x + y = 11
What is (1, 1)?
300
Direction of the opening and the vertex of the parabola
y=-2x^2 + 8x - 7
What are down and (-2, -15)?
300
The number of positive zeros and the number of negative zeros of
f(x) = -6x^5 - 2x^4 + x^3 - 5x^2 - x - 1
What are 2 or 0 positive zeros and 3 or 1 negative zeros?
300
The transformations done to f(x) = 1/x to get the graph of
g(x) = 2 - 2/(x+3)
What are 1) a horizontal shift left 3 units, 2) a vertical stretch by a factor of 2, 3) a reflection about the x-axis and 4) a vertical shift up 2 units?
300
The value of log(base 2) of 8
What is 3?
300
The inverse of this matrix is
[ 2 -3 ]
[ 5 -8 ]
What is [ 8 -3 ]
[ 5 -2 ]
400
The real zeros of y = x^2 -3x + 5
What is no real zeros?
400
The remainder when f(x) = 2x^4 - 7x^3 + 5x^2 + x - 3 is divided by
x - 2
What is -5?
400
The asymptotes for
f(x) = (12x^2 - x - 6)/(x + 1)
What are x = -1 and y = 12x - 13?
400
The inverse of f(x) = sqrt(x-2)
What is g(x) = x^2 - 2, x>= 2?
400
The value of this determinant
| 1 3 -2 |
| 6 1 -5 |
| 8 2 3 |
What is -169?
500
A quadratic equation with zeros -1 and 1/4?
What is 4x^2 + 3x - 1?
500
A fourth degree polynomial with zeros 2, -1, 2i
What is x^4 - x^3 + 2x^2 - 4x -8 ?
500
The solution to (x + 1)/(x(x-5)) <= 0
What is {x|1<=x<0 or x>5}?
500
The amount of time it will take for an investment of $200 to double if it is invested at 8% compounded countinuously
What is ln2/0.08 or 8.66 years?
500
The solution to this system of equations
x + 4y - 3z = -8;
3x - y + 3z = 12;
x + y + 6z = 1