The maximum/minimum of the function
f(x) = -x^2 - 4x +2
What is
maximum: (-2, 6)
100
The first five terms of an arithmetic sequence with a first term of 5 and common difference is -3.
What is
5, 2, -1, -4, -7
100
Rewrite the radical expression.
sqrt(40)
What is
2 sqrt(10)
200
The domain of the function y = 4^x + 5
What is... (- infinity, infinity)
200
Multiply
3x ( 7x^4 + 8)
What is...
21x^5 + 24x
200
The equation of a quadratic function that is concave down and has x-intercepts (4, 0) and (-7, 0).
What is f(x) = - (x - 4)(x + 7)
200
Is the sequence arithmetic or geometric?
1/4, 1/2, 1, 2, 4
What is geometric
200
Rewrite the radical expression.
sqrt(125)
What is
5 sqrt(5)
300
The range of the function y = -4^x + 5
What is... (- infinity, 5)
300
Factor
6x^2 + 30x
What is...
6x ( x + 5 )
300
The axis of symmetry of a quadratic function with
x-intercepts (6, 0) and (-4, 0).
What is x = 1
300
Does the sequence have a common ratio or common difference? What is the common ratio or common difference?
1/4, 1/2, 1, 2, 4
What is r = 2
300
Determine the exact solutions for the equation
(y - 7)^2 = 40
What is
7 +/- 2 sqrt(10)
400
The description of the transformation of g(x) = -2^x + 6 from the basic function f(x) = 2^x
What is... reflected over the line y = 0 and up 6 units
400
Factor
x^2 - 2x - 24
What is...
(x + 4) (x - 6)
400
The description of the transformation of the function
f(x) = - (x + 3)^2 + 4 from the basic function g(x) = x^2
What is
- reflected over the line y = 0
- left 3 units
- up 4 units
400
Does the sequence have a common difference or a common ratio? What is the common difference or common ratio?
-5, -1, 3, 7, 11
What is d = 4
400
Use the quadratic formula to solve the function
x^2 + 10x - 4 = 0
What is... -5 +/- sqrt(29)
500
The value of a computer after 2 years that cost $2000 and depreciates 3% every year.
What is... $1805
500
Factor and solve
2x^2 - 5x - 3
What is
x = -1/2 and x = 3
500
The intervals of increase and decrease for the function
f(x) = x^2 - 6x + 11
What is
increase: (3, infinity)
decrease: (- infinity, 3)
500
George is mowing lawns over the summer to make money. He earns $5 the first day, $10 the second day, $15 the third day, and $20 the fourth day. If this trend continues, find the amount of money he will make on the 7th day.
What is $35
500
A baseball is hit and its height can be modeled by the quadratic function h(t) = -16t^2 + 120x + 3. Determine how long it will take for the baseball to hit the ground.