functions and function notation
x -1 0 1 2
y 6 5 9 14
Is the relation a function? If it is, is it linear?
function, not linear
Look at graph A, that Ms. M puts on the board. Is the domain discrete or continuous?
continuous
2x-3y=6
What is the x-intercept?
3
−5x+y=−10
What is the slope?
5
f(x) = x; g(x) = x + 3
What is the transformation
vertical translation 3 up
y=-2x+3
Is the relation a function? If it is, is it linear?
function, linear
Look at graph B, that Ms. M puts on the board. Is the domain discrete or continuous?
discrete
2x-3y=6
What is the y-intercept?
-2
−5x+y=−10
What is the y-intercept?
-10
f(x) = x; g(x) = −x
reflection over the x-axis
x=-2
Is the relation a function? If it is, is it linear?
not a function
Look at graph A, that Ms. M puts on the board. What is the domain?
All Real Numbers
y=4.5
What is the x-intercept?
no x-intercept
x+3y=9
What is the slope?
-1/3
f(x) = ∣ x ∣; g(x) = ∣2x + 4|
horizontal translation 4 left
(0, 1), (5, 6), (7, 9)
yes this is a function, non linear
Look at graph A, that Ms. M puts on the board. What is the range?
All real numbers
y=4.5
What is the y-intercept?
4.5
x+3y=9
What is the y-intercept?
3
f(x) = ∣ x ∣; g(x) = ∣2x∣
Horizontal shrink by 1/2
Evaluate f(x) = 3x − 9 when x = 2
-3
Look at graph B, that Ms. M puts on the board. What is the range?
{-2,-1,0,1,2,3}
y=|x-1|-2
What are the x-intercepts?
-1,3
2x−3y=6
What is the slope and the y-intercept?
m=2/3
b=-2
f(x) = ∣ x ∣; g(x) = ∣2x + 4∣
horizontal translation 4 left,
Horizontal shrink by 1/2