Solving Equations
Evaluating Functions
Discrete vs Continuous
Linear vs Exponential
Random
100
6 + x = 15
x=9
100
if f(x)=9-2x
Find: f(5)
-1
100
Discrete or Continuous? Why?
Discrete: The points are not connected.
100
Linear, Exponential, or Neither? WHY?
Linear. The graph is a straight line.
100
If f(x)=8x
Find: f(0)
1
200
x - 10 = 2
x=12
200
If g(x)= 2x
Find: g(3)
8
200
Miguel wants to give his dog a bath. He plugs the drain and begin to fill the bath tub. The water fills in the bathtub at a rate of 2 gallons per minute.
Is this discrete or continuous and why?
Continuous. The water is gradually filling in the tub. You can MEASURE the amount of water in the tub at any time.
200
Linear, Exponential, or Neither & WHY.
y=2x-6
Linear. Constant rate of change is 2.
200
FREE POINTS!!!!!!
FREE POINTS!!!!!!
300
-6x = -30
x=5
300
If h(x)= 3x-1
Find: h(5)
81
300
Discrete or Continuous? Why?
Continuous. The points on the graph are connected.
300
y=2*3x-1
Exponential. The variable is in the exponent meaning we have a constant ratio of 3.
300
Kara is trying to eat healthy. She begins the week by eating one apple, and each day she wants to eat one more apple then she did the day before.
Is this discrete or continuous and WHY?
Discrete. The number of apples Kara eats is a countable variable that can only take on certain values.
400
x/3 = -2
x= -6
400
If f(x)=10-3x
Find: f(-2)
16
400
John has decided to open a business creating jewelry. He opens his business with 100 necklaces to sell, but business is booming and he needs to double the number of necklaces he makes each week.
Is this discrete or continuous and why?
Discrete. The number of necklaces he makes can only take on certain values (whole numbers). This is a discrete variable.
400
y= 1/3 x + 5
Linear. Constant rate of change is 1/3.
400
Kara is trying to eat healthy. She begins the week by eating one apple, and each day she wants to eat one more apple then she did the day before.
Is this Linear or Exponential and WHY?
Linear. The constant rate of change is one. She's adding one apple to her diet each day.
500
(2/3)x = 10
x=15
500
If g(x)=4*2x-1
Find: g(1)
4
500
The number of plants planted in a garden each year vs the height of a sunflower plant as the year progresses. Which is the discrete relationship which is continuous and why?
Number of plants is discrete because that is a countable variable that can only take on certain values. The height of the plant is continuous because you can measure the height of the plant at ANY time during the year.
500
y=x2 + 4
Neither. There is only a number in the exponent. No constant rate of change nor common ratio.
500
Linear, Exponential, or neither?
Neither. This graph changes direction making it neither linear nor exponential.