Vocabulary
The ______ of a function is the set of all output values.
What is range?
State whether the equation is in function form or not.
x + y = 1
not in function form
Is selling a block of cheese discrete or continuous? Explain.
Continuous
Does it matter what two points are selected to find the slope? Explain
No, The ratio of rise to run will be the same because the slope triangles are actually similar. Or the point stays constant anywhere on a straight line.
Linear function or Nonlinear function
As x increases by 2, y increases by different amounts.
Nonlinear Function
The ________ of a function is the set of all input values.
What is domain?
Write the function in function form.
2x + y = 8
y = -2x + 8
Describe the difference between a discrete domain and a continuous domain.
A discrete domain consists of only certain numbers in an interval, whereas a continuous domain consists of all numbers in an interval.
Graph the data in the table. Is the domain discrete or continuous?
Hours Kayaking x: 2 l 4 l 6 l 8
Calories Burned y: 600 l 1200 l 1800 l 2400
Time can represent any value greater than or equal to 0, so the domain is continuous.
True or False
As x increases by 3, y increases by 5. The rate of change is constant. So, the function is nonlinear.
False
A relationship that pairs each input with exactly one output.
What is a function?
Find the domain and range of the function represented by the table.
y = -3x + 4
X: -2 l -1 l 0 l 1 l 2
Y:
D: -2, -1, 0, 1, 2
R: 10, 7, 4, 1, -2
The function m = 50 - 90d represents the amount of money m (in dollars) you have after buying d DVDs. Is the domain discrete or continuous? Explain
The domain is discrete because you cannot buy part of a DVD.
Write a linear function that relates y to x. How many calories do you burn in 4.5 hours?
Hours Kayaking x: 2 l 4 l 6 l 8
Calories Burned y: 600 l 1200 l 1800 l 2400
y = 300x
You burn 1350 calories in 4.5 hours of kayaking.
Does the table represent a linear or nonlinear function?
x: 2 l 4 l 6 l 8
y: 8 l 4 l 0 l -4
If it is linear, write a function that relates y to x.
Linear Function
y = -2x + 12
A function whose graph is a line.
What is linear function?
Find the domain and range of the function represented by the table.
Tickets x: 2 l 3 l 5 l 8
Cost y: $14 l $21 l $35 l $56
D: 2, 3, 5, 8
R: 14, 21, 35, 56
The function m = 50 - 9d represents the amount of money m (in dollars) you have after buying d DVDs. Graph the function.
Answer is in the book.
Use the table to write a linear function that relates y to x.
x: 0 l 1 l 2 l 3
y: 2 l 1 l 0 l -1
y = -x + 2
Does the equation represent a linear or nonlinear function? Explain
y + x = 4x + 5
Linear; The equation can be written in slope-intercept form.
Does not have a constant rate of change.
What is nonlinear function?
A factory makes frozen pies produces 300 pies per minute.
Write an equation in function form that represents the number of y of pies made each hour x.
y = 18,000x
Describe how you can use a graph to determine whether a domain is discrete or continuous.
If the graph is a line covering all inputs on an interval, then it is a continuous domain. If a graph consists of just points, then it is a discrete domain.
y = 4x/3 + 2
Which equation represents a nonlinear function?
A.) y = 4.7
B.) y = 4(x - 2)
C.) y = (pie sign)x
D.) y = 4/x
D.) y = 4/x