FUNCTIONS
Linear Functions
Function Notation
Graphing Linear Equations
Misc.
100
Is this graph a function? Explain.
Yes, it is. The vertical line test will only go through one point at a time. The x-values do not repeat.
100
Is the function linear or non-linear? Explain.
Non-linear. Graph is not a straight line.
100
Evaluate the following:
f(x) = -3x + 5 when x = -2
11
100
What are the x and y intercepts:
3x - 2y = -6
x-intercept?
y-intercept?
x-intercept = (-2, 0)
y-intercept = (0, 3)
100
Find the Slope and y-intercepts of the linear equation.
y = 2x +5
m = 2
b = 5
200
The function y = -3x + 12 represents the amount y (in fluid ounces) water left in a bottle after taking x gulps.
Which is the dependent variable?
Which is the independent variable?
Dependent variable: amount of water left in a bottle
Independent variable: number of gulps taken
200
Does the table represent a linear or non-linear function? Explain.
Linear. The inputs and outputs differ by the same amount.
200
For h(x) = 3x +2
What is the x value when h(x) = -7?
x = -3
200
What is the slope of the line through the 2 points
(-1, 3) and (4, -2)?
m = -1
200
What is Mr. DeVille's youngest son's name?
Nicholas
300
What is the domain and range of the following function?
(-2, 5), (0, 2), (1, 1), (5, -3), (7, -2)
Domain?
Range?
Domain: {-2, 0, 1, 5, 7}
Range: {5, 2, 1, -3, -2}
300
Does the equation represent a linear function? Explain.
y = 2x2 - 7
NO. The equation is not in y = mx + b form.
300
What is the x value when f(x) = 7?
x = 5
300
What is the slope and the y intercept for the following equation?
2x - y = -6
m = 2
b = 6
300
What is Mr. DeVille's favorite color?
Teal
400
What is the domain and range of the following function?
Domain? Range?
Domain is -2 < or = x < or = 3
Range is -1 < or = y < = 2
400
Is the domain discrete or continuous? Explain.
Discrete. Whole numbers, countable.
400
What is f(x) when x = 2?
f(x) = 2
400
Graph the equation:
2y = -4x +6
Put a point on the y axis at positive 3, and from that point, go down 2 and right 1 and put another dot.
400
DOUBLE JEOPARDY
Who is Barbies little sister?
Skipper
500
If the function g(h) stands for the grade you earn based upon the number of hours, h, you study in a week, explain the following.
g(1) < g(9)
The grade you earn from studying one hour a week is less than the grade you earn from studying nine hours a week.
500
What is the domain? Is it discrete or continuous?
Domain is [0, 4]. It is discrete.
500
The function d(t) = 300,000t represents the distance in kilometers that light travels in t seconds.
How long does it take light to travel 12 million kilometers?
40 seconds
500
What is the equation of the line if the dependent variable increases by 3 when the independent variable decreases by 1 and the point (0, 2) is on the graph?
y = -3x + 2
500
What year was the first iPhone released?
2007