Piecewise
Quadratics
Exponential
Square Root/Cube Root
Comparing Functions
100
The first line will have a _____ circle endpoint and the second line will have a _____ circle endpoint.
closed circle
open circle
100
What is the vertex of the graph below? 
(-2,-6)
100
Is this a growth or decay function? Why?
Decay because the y-values are decreasing as the x-values increase.
100
Is the "a" value positive or negative of this square root function? Explain why.
a is positive because the function is increasing.
100
What is one thing these graphs have in common?
Answers could be: Same x-intercept of (-1,0). Same y-intercept of (0,2). Same "a" value of 2. They are both increasing functions. The end point of the square root function is the same as the inflection point of the cube root function.
200
What are the slopes of the two lines?
-2 and 5
200
Is the "a" value positive or negative and why?
Negative because the parabola is facing down. Or because the vertex is a maximum.
200
What is the initial value? (When x=0)
y=4(5)^x
4
200
What is the end point of this square root function?
(-1,0)
200
What are two differences between the two functions?
One is quadratic and the other is exponential. They have different y-intercepts. When x>0 one function is increasing and the other is decreasing.
300
Below is the price of movie tickets depending on a patron's age. If a 13 year old buys a ticket, how much will it cost them?
$12
300
What is the vertex of
y=-2(x+5)^2+6
(-5,6)
300
What is the growth factor? 
2, it doubles
300
What is the domain of this function?
Domain:
x>=-3
300
What are 2 similarities and one difference between the two graphs?
Similarities: Both increasing. Same y-intercept of (0,-3). Both only have one x-intercept. Both x-intercepts are positive. Both have the same domain of all real numbers. Both have the same range of all real numbers.
Differences: Different x-intercepts. One is linear function and one is a cube root function.
400
What are the y-intercepts of the lines below?
(0,8) and (0,15)
400
Answer both parts: Is the parabola facing up or down? AND what is the y-intercept?
y=-x^2-2x-7
Facing down and (0,-7)
400
Where is there a horizontal asymptote on this graph?
y=3
400
What is the range of this cube root function?
Range: All real numbers or
(-∞, ∞)
400
What are 2 similarities and 2 differences between the red and blue functions?
Similarities: They are both exponential and have the same growth factor of 3. They also share the same horizontal asymptote of y=0.
Differences: The initial values are different. The blue initial value is -1 and the red initial value is its opposite, 1. The graphs are reflections of each other over the x-axis.
500
Find the linear equation of the first line which goes through the points, (-4,-2) and (-2,2).
y= 2x+6, x<1
500
How many x-intercepts does this parabola have? How do you know without graphing?
y= 2(x-3)^2-2
Two since the parabola is facing up and has a vertex of (3,-2) where there is a negative y-value so the U shape has to come back up.
500
What is the exponential equation y=ab^x for the graph below. 
y=10(1/5)^x
500
Is the value of "a" a large number or a small number? Explain why you know.
a is large. (it is 10). a values greater than one vertically stretch functions and so you can see in that graph how stretched or steep it has become.
500
Describe the domain and the range of BOTH functions below. 
The domains are different where the exponential domain is all real numbers and the root function has a domain of x ≥ 0. The ranges are different where the exponential function's range is y>0 and the root function's range is y ≤ 5.