domain/range
What is the domain of y=x+2y=x+2?
All real numbers.
Variable
A letter that stands for a number (like x or y).
What is i2
−1
What does adding a number outside the function do?
Moves the graph up or down.
What is the range of y=x2y=x2?
y≥0y≥0 (only positive numbers).
Coefficient
The number in front of a variable (like the 3 in 3x).
Simplify 3+2i+4+5i3+2i+4+5i.
7+7i
What does adding a number inside the function do?
Moves the graph left or right.
What is the domain of y=1xy=x1?
All real numbers except 0.
Expression
A math phrase without an equal sign (like 2x + 5).
(6+2i)−(3+i).
3+i3+i
What does a negative sign in front of the function do?
Flips (reflects) the graph over the x-axis.
What is the range of y=∣x∣y=∣x∣?
y≥0y≥0.
Equation
A math sentence that has an equal sign (like 2x + 5 = 9).
(2+3i)(1+4i)(2+3i)(1+4i).
2+8i+3i+12i2=−10+11i
What happens when you multiply the function by a number greater than 1?
The graph stretches (gets skinnier).
What is the domain of y=xy=x?
x≥0x≥0 (no negatives inside the square root).
Function
A rule that gives one output (y) for each input (x).
What is the conjugate of 5+2i5+2i?
5−2i5−2i
What happens when you multiply the function by a number between 0 and 1?
The graph compresses (gets wider).