Functions & their representation
Verbal Function:
Multiply the # by 3, and then add 10.
What is the function?
What is
y=3x+10
g(x)=1/2x+1
domain and interval notation
What is
(-infinity, -1/2) u (-1/2, infinity)
{x|x is not -1/2}
Find the function using slope int-form
y=mx+b
x 0 1 2 6
y 12 10 8 0
y=-2x+12
Find the equation of a line parallel to
y=7/3x+4 with (0,3)
What is y=7/3x+3
At noon a car is 50 miles North of Austin and traveling at 65mph due North. Find a model for the distance, d(t), from Austin in miles t hours afternoon
What is d(t)=65t+50
Quantitive
x -2 -4 -1 -2 6
y 0 2 1 4 7
Is this a function? Yes/No
No, two x-values is not a function
h(x)=sqrt of x
domain and interval notation
What is
(0, infinity)
{x|x greater than or equal to 0}
y=b
rate of change is....
what is 0
m=0
Find an equation parallel to the line of
y+2x+2 Passing through (0,4)
y+2x+4
It is 2022 and Alyssa wants to go to college. So she requested a brochure from the college of her choice to be sent to her home. The table represents the tuition in a given past year. Find the slope.
x 2012 2014 2016 2018 2020
y 2850 3000 3150 3300 3450
What is m=75
Symbolic
y=3x+4
If x=2
What is 10
j(x)=sqrt of 6-2x
Find domain and interval notation
What is {x|x is less than or equal to 3}
(-infinity, 3]
What is slope of
y=-2/3x-1
what is -2/3
Find an equation to a perpendicular line to y=-5x+1 passing through (2,-4)
What is
y=1/5(x-2)-4
Find a line perpendicular to the equation y=2/3x+10/3 passing threw (2,-3).
What is y=3/2(x-2)-3
y=3/2x-6
Symbolic
g(x)=2x-1
g(x)=7
What is x=4
f(x)=1/x
Find domain and interval notation
What is {x|x is not =0}
(-infinity,0) u (0, infinity)
Slope of
f(x)=5(x-1)+4
what is
5
Find an equation of the line perpendicular to y=4/3(x+8)-3 with y-int (0-5)
What is
y=-3/4x-5
The displacement of a spring varies directly with the weight hung from it. When a 20g weight is attached, the spring is displaced by 0.4cm. How much weight is needed to displace the spring 0.65cm?
What is w=32.5 grams
Symbolic
f(x)=(1/x+2)-sqrt of x
F(4)
What is f(4)=(1/6)-sqrt of x
g(x)=4/2x-3
Find domain and interval notation
What is
Domain: {x|x is not=3/2}
Interval: (-infinity,3/2) U (3/2, inifnity)
Find the equation
Passing through (-2,7)
slope 5/3
What is
y=5/3x+31/3
Find an equation perpendicular to y=6/3(x+2)-4 with a y-int of (0,7)
What is
y=-1/2x+7
f(x)={2x-3 if x is less than or equal to 1
-x+2 if x is greater than 1}
Evaluate F(2)
What is -7