Function Notation
Linear Equations
Domain and Range
Characteristics of Graphs
Hodge Podge
100
Let f(x)= 2x+3. What is f(-2)?
f(-2) = -1
100
What is the slope and y-intercept of the equation
y=3-9x
slope = -9
y-intercept = 3
100
State the definition of the domain and range of a function.
The domain is all of the x values of a function.
Range is all of the y values of a function.
100
What is/are the x-intercept(s) of this function?
(-4,0)
(3,0)
100
Do the set of ordered pairs represent a function?
(1, 4) (2,3) (6,5) (5,6) (-1,4) (0,0)
Yes
200
Let g(x)=3x-2, If g(x)=16, what is the value of x?
x = 6
200
What is the slope and y-intercept of the equation
y=-11?
Slope: 0
Y-intercept: (0, -11)
200
What is the domain and range of the relation below? (1, 9) (2, 4) (5, 4) (13, 7)
Domain: 1, 2, 5, 13
Range: 4, 7, 9
200
What is the interval of increase for the function below?
Increase:
x>3
200
Does the mapping below represent a function? Why or why not?
NO! because the x-value of 1 repeats. It can't become 3 and 4.
300
What is F(-2)?
F(-2)=-2
300
What is the x-intercept and y-intercept of the linear function below?
3x-8y=24
x-int: (8, 0)
y-int: (0, -3)
300
What is the range of the function graphed below?
Range:
y<=4
300
What is the end behavior of the graph below?
x->+oo, y->+oo
x->-oo, y->+oo
300
Does the graph below represent a function? Is it linear?
YES, it is a function. NO, it is not a linear function.
400
What is f(-2) for the function
f(x)=4x^2-6x-8?
f(-2)=20
400
What is the x-intercept and y-intercept of the linear equation
-4x-5y=20
x-intercept: (-5, 0)
y-intercept: (0, -4)
400
What is the domain of the function graphed below?
Domain:
x<=4
400
Identify the positive interval(s) of the graph.
None.
400
Describe the transformation from f(x) to h(x). Also, give the vertex of h(x).
f(x)=abs(x) and h(x)=abs(x)-7
h(x) has translated 7 units down. The vertex of h(x) is (0, -7).
500
What is the value of x when f(x)=-2?
-2 and 2
500
What is an equation of the linear function that has both an x-intercept of 0 and a y-intercept of 0?
Example: y = x *Any linear equation in the form of y = mx + b where b=0.
500
What is the domain and range of the graph below?
Domain:
-4<=x<3
Range:
-5<y<5
500
What is the domain, range, increasing interval(s), and decreasing interval(s) of the function below?
Domain: All Real Numbers
Range:
y>=-3
Increase:
x>2
Decrease:
x<-3
500
Describe the transformation from f(x) to g(x). Also, give the vertex of g(x).
f(x)=abs(x) and g(x)=abs(x-5)+2
The graph of g(x) is translated 5 units right and 2 units up. It's vertex is now (5, 2).