Key Features
The domain of f(X) = x^2
(-inf, inf) or all real numbers.
The four directions that a function can be moved.
Up, Down, Left, and Right
True
True or False: When trying to solve an equation by graphing, you enter both sides of the equation into the "y=" menu.
True.
True or False: The solution of a system is written as a point (x, y)?
True.
The range of f(x) = x^2.
The function f(x) = x^2 + 1 is a transformation from g(x) = x^2 which moves the function in this direction.
Up
True or False: The explicit formula for an arithmetic sequence uses a curly brace {
False
True or False: the equation x^2 = x^3 has only one solution.
False.
True or False: Elimination is ALWAYS the fastest method of solving a system.
False.
The domain of sqrt(x+4).
[-4, inf) or x is greater than or equal to -4.
The function j(x) = |x-1| -3 is a transformation of the function k(x) = |x| in two directions. What are the two directions?
Right and Down
Given that the first term of a sequence is 20 and that the constant difference is -7, what is the third term in the sequence?
6
Solve by graphing: 2x + 3 = -4x + 3
x = 0
x = 20
The interval of increasing for the function f(x) = x^2 is...
[0, inf) or all numbers greater than or equal to 0.
Write the equation for the transformation g(x) of the function f(x) = 4x^2 moved left 4 and up 2
g(x) = (x+4)^2 + 2
Write a recursive formula for the sequence a(n) = -4(n-1) + 29
a1 = 29
a_n = a_n-1 - 4
Solve by graphing: -|x + 4| - 5 = (x-3)^2 -4
No Solutions
Solve using substitution:
x = 3y - 1
2x - y = 1
(0.8, 0.6)
The y-intercept of the function g(x) = (x-3)(x+3).
(0, -9)
The function f(x) = -|x - 1| - 5 has a vertex. Where is it?
(1, -5)
Suppose Jimmy has $300 in his savings account and makes $50 every day at work. Given that Jimmy is a hard worker, never takes off, and works every day, how much money will Jimmy make after a year of working?
$18,550
Solve by graphing: -(x_1)^2 + |x-1| = -(x+2)^3. Round to the nearest thousandths place.
x is approximately -0.842
Solve using elimination:
-2x + 5y = 10
2x - y = 30
(20, 10)