Is it a Function?
Does (2,5),(4,7),(6,9) represent a function?
yes
On a distance graph, what does a flat line mean?
The object stopped moving/is idle
Water decreases from 40 gals to 30 gals to 20 gals over 5 minute intervals. What is the rate between the amount of water and time?
-2 gallons per minute
5,10,15,20 is a _________________ pattern
linear
If on a graph, an object moves forward and then backwards, is that still a function?
yes
Does (3,4),(5,8),(3,6) represent a function?
no
An increasing graph means that as your input increases your output __________.
increases
What is another name for Rate of Change?
SLOPE
3,6,12,24 is a _________________pattern.
exponential
If distance is decreasing, what does that mean?
Moving back to the starting point
Which equations include the point (10,5)?
A. y=2x
B. y=x-5
C. y=.5x
D. y=x+5
B and C
On a temperature graph, the line decreases from 3-5pm. What does this mean?
Temperature went down
y=25x+50
If in a word problem, it states that the rate "is doubling daily", is that linear or exponential?
exponential
x= time
y= distance
If a table of values has x=2 twice with different outputs, does that create a function?
no
What does the steepest slope on a distance-time graph represent?
The fastest speed
Find the slope between (2,6) and (6,14)
2
A Linear function changes at a _______________ rate
constant
Jonie starts with $200 in her bank account. Everyday, she spends $3 on a coffee. Write the equation where y is the total amount in her account after x days.
y= -3x+200 or y= 200 - 3x
One input cannot have multiple outputs.
TWO PARTS: Draw what the distance/time graph should look like and explain what's happening at each part.
A graph increases, goes flat, and decreases.
Find what x value the two expressions are equal
40+20x and 10+30x
**hint - set them equal to each other**
x=3
Exponential functions change through the operation of _______________
multiplication
A gym membership costs $15 for the card and $8 a month. Write the equation to represent this scenario where x represents months and y represents total cost.
y= 8x+15