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WorksheetsAnalyzing & Interpreting Functions & Graphs
Total questions: 72
Worksheet time: 2hrs 36mins
Name
Class
Date
1.
What is the vertex of the graph?
a)
(2,4)
b)
(-2,-4)
c)
(4,2)
d)
(-4,-2)
2.
Over what interval is the function increasing?
a)
x < -3
b)
x > -3
c)
y < -10
d)
y > -10
3.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
4.
What are the x-intercepts of the graph?
a)
(-1,0) and (0,6)
b)
(3,0) and (0,6)
c)
(-1,0) and (3,0)
d)
(0,-1) and (0,3)
5.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
6.
What is the y-intercept?
a)
(3,0)
b)
(0,-3)
c)
(0,3)
d)
(-3,0)
7.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
8.
What is the domain?
a)
y < 4
b)
1 < x < 5
c)
x > 0
d)
All real numbers
9.
What is the range?
a)
y < 4
b)
y > 4
c)
x < 4
d)
All real numbers
10.
If each mark on the x-axis represents one second, when did the object reach its maximum height?
a)
2.5 seconds
b)
2 seconds
c)
5.5 seconds
d)
3 seconds
11.
If each mark on the x-axis represents one second, when did the object reach the ground?
a)
2.5 seconds
b)
6 seconds
c)
5.5 seconds
d)
5 seconds
12.
Over what interval is this function constant?
a)
x < -3
b)
-3 < x < 4
c)
x > 4
d)
-5
13.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
14.
How long did Sam sit on the bench and wait for the bus?
a)
5 min
b)
10 min
c)
15 min
d)
20 min
15.
Over which interval of time is this person returning home?
a)
8:00 < x < 9:00
b)
9:00 < x < 9:30
c)
9:30 < x < 11:00
d)
12:00 < x < 13:00
16.
Interpret the meaning of the coordinate
(12.00, 5).
(12.00, 5).
a)
At 5 o'clock the kayak had traveled 12.0 km.
b)
At 12 o'clock they were going 5 km/hr.
c)
At 12 o'clock the kayak had traveled 5 km.
d)
At 5 o'clock they were going 12.0 km/hr
17.
On what interval is the function increasing?
a)
y ≤ 1
b)
y ≥ 1
c)
x ≥ -2
d)
x ≤ -2
18.
Where is the function decreasing?
a)
x ≤ 1
b)
x ≥ 1
c)
x ≤ -1
d)
-1 < x < 3
19.
Where is the function increasing?
a)
nowhere
b)
x < -1
c)
x > -1
d)
y ≤ 3
20.
Where is the function increasing?
a)
y≥4
b)
y≤4
c)
y≥-4
d)
y≤-4
21.
Identify the slope, intercepts, and whether the line is increasing or decreasing.
a)
Slope = -2
X-intercept = (2, 0)
Y-intercept = (0, 4)
Decreasing
X-intercept = (2, 0)
Y-intercept = (0, 4)
Decreasing
b)
Slope = -½
X-intercept = (0, 2)
Y-intercept = (4, 0)
Decreasing
X-intercept = (0, 2)
Y-intercept = (4, 0)
Decreasing
c)
Slope = -2
X-intercept = (0, 2)
Y-intercept = (4, 0)
Decreasing
X-intercept = (0, 2)
Y-intercept = (4, 0)
Decreasing
d)
Slope = -½
X-intercept = (2, 0)
Y-intercept = (0, 4)
Decreasing
X-intercept = (2, 0)
Y-intercept = (0, 4)
Decreasing
22.
Identify the slope, y-intercept, and whether the line is increasing or decreasing.
a)
Slope = 2
Y-int = (0, -2/3)
Increasing
Y-int = (0, -2/3)
Increasing
b)
Slope = -2/3
Y-int = (2, 0)
Decreasing
Y-int = (2, 0)
Decreasing
c)
Slope = -2/3
Y-int = (0, 2)
Decreasing
Y-int = (0, 2)
Decreasing
d)
Slope = -2/3
Y-int = (2, 0)
Decreasing
Y-int = (2, 0)
Decreasing
23.
Calculate the average rate of change between the following points.
(3, -1) and (-5, 4)
(3, -1) and (-5, 4)
a)
-8/5
b)
-5/8
c)
3/2
d)
-3/2
24.
f(x)=x2-2x+1
Evaluate the function for f(-1).
Evaluate the function for f(-1).
a)
f(-1)=4
b)
f(-1)=0
c)
f(-1)=2
d)
f(-1)=-1
25.
f(x)=2x+1
If f(x)=4, what is the value of x?
If f(x)=4, what is the value of x?
a)
3/2
b)
2
c)
1/2
d)
4
26.
f(x)=x2-2x+1
What is the "name" of the function?
What is the "name" of the function?
a)
g
b)
x
c)
f
27.
Which ordered pair could represent a y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
28.
Which ordered pair could represent an x-intercept on a graph?
a)
(0, 5)
b)
(-1, 2)
c)
(4, 0)
d)
(2, 1)
29.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO (What is being multiplied repeatedly)
30.
g(x)=3(2)x
Find g(3)
Find g(3)
a)
216
b)
24
c)
18
d)
28
31.
Your shiny new boat cost $7650. The depreciation(how it loses value) for your boat is 14% per year. Estimate the value of your vehicle in 3 years. How would you calculate the answer?
a)
y= 7650(0.14)3
b)
y= 7650(1 - 0.14)3
c)
y= 7650(1+0.14)3
d)
y= -14(3) + 7650
32.
What is the y-intercept of the function?
a)
(0,2)
b)
(0,3)
c)
(3,0)
d)
(-6,0)
33.
Given y=3x determine the y-intercept
a)
(0,1)
b)
(0,3)
c)
There isn't one
34.
Is this exponential growth or decay?
a)
Growth
b)
Decay
35.
What is the initial amount for the function:
f(x) = 300(1.16)x?
f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
348
36.
Convert 3% to a decimal
a)
3
b)
.3
c)
.03
d)
.003
37.
In an exponential function, what does the 'b' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
STARTING VALUE
d)
GROWTH FACTOR
38.
Change 6.75% to a decimal.
a)
67.5
b)
.675
c)
675
d)
.0675
39.
What is the y-intercept of the line?
a)
(0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
40.
What is the y-intercept?
a)
(0,7)
b)
(-2,3)
c)
(8,0)
d)
(1,9)
41.
The slope of this line is...
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
42.
The slope is defined as the:
a)
y intercept
b)
run of the graph
c)
rise of the graph
d)
rate of change
43.
What is coordinate L?
a)
(6,6)
b)
(2,5)
c)
(2,3)
d)
(5,2)
44.
On the graph shown, one of the zeros is located between which of the following integers?
a)
Between -2 and -3
b)
Between 2 and 3
c)
Between 5 and 6
d)
It's at (2,4)
45.
If the y-axis represents profit, and the x- axis represents selling price, how much should this company sell their product for to maximize profit?
a)
$55,000
b)
$50
c)
$100
d)
$200
46.
Does this parabola have a minimum or maximum and WHAT is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
47.
The graph below shows the height of a baseball from the time it is thrown from the top of a building to the time it hits the ground. From the graph, what conclusion can be made about the flight of the baseball?
a)
A.The baseball reached its maximum height after 4.5 seconds.
b)
The baseball was 120 meters or more above the ground over 3 < x < 5.
c)
At 2 seconds, the height of the baseball was 95 meters.
d)
The baseball was in flight for 8 seconds.
48.
The graph below shows h, the height in meters of a model rocket, versus t, the time in seconds after the rocket is launched. From the graph, what conclusion can be made about the flight of the rocket?
a)
The height of the rocket was 14 meters at 3 seconds.
b)
The rocket reached its maximum height after 2 seconds.
c)
The height of the rocket was 0 meters when it was launched.
d)
The height of the rocket was more than 15 meters for t > 1.5.
49.
Which runner won the 10m race?
a)
A
b)
B
c)
C
50.
What is the average rate of change from hour 3 to hour 5?
a)
1 miles per hour
b)
50 miles per hour
c)
25 miles per hour
d)
37.5 miles per hour
51.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
52.
f(x) = 3(2)x
What is the average rate of change of f(x) on the interval 1 ≤ x ≤ 4?
What is the average rate of change of f(x) on the interval 1 ≤ x ≤ 4?
a)
430
b)
14
c)
42
d)
45
53.
f(x) = 4x+5
What is the average rate of change of f(x) over the interval
2 ≤ x ≤ 3
What is the average rate of change of f(x) over the interval
2 ≤ x ≤ 3
a)
48
b)
24
c)
-48
d)
-24
54.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
(y2-y1) over (x2-x1)
d)
all of the above
55.
What is the average rate of change from x= -1 and x=0?
a)
-2
b)
-1/2
c)
2
d)
1/2
56.
Use the table below to find the average rate of change from x=2 to x=4.
a)
12
b)
-12
c)
-6
d)
6
57.
Which function is a larger function as x gets larger?
a)
y = a (b)x
b)
y = x2
c)
y = mx+b
58.
With x being time and y being height, how much time does it take for the ball to get to max height?
a)
At 1 second
b)
At 2 seconds
c)
At 3 seconds
d)
At 4 seconds
59.
a)
The rate of change of the function f(x) is always greater than the rate of change of the function g(x)
b)
The rate of change of the function g(x) will eventually be greater than the rate of change of the function f(x)
c)
The rate of change of the function f(x) is never greater than the rate of change of the function g(x)
d)
The rate of change of the function g(x) is never greater than the rate of change of the function f(x)
60.
Which function has the greatest y-intercept?
a)
f(x)
b)
h(x)
c)
g(x)
61.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
62.
Which function is quadratic?
a)
f(x)
b)
h(x)
c)
g(x)
63.
Which function is exponential?
a)
f(x)
b)
h(x)
c)
g(x)
64.
Which function is greater over the interval -1 <x < 1?
a)
f(x)
b)
h(x)
c)
g(x)
65.
Which function is greater over the interval x < -1?
a)
f(x)
b)
h(x)
c)
g(x)
66.
Which function will be greater for larger values of x?
a)
f(x)
b)
h(x)
c)
g(x)
67.
Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
68.
a)
A.
b)
B.
c)
C.
d)
D.
69.
What is the y-intercept of y=20(3)x
a)
(0,0)
b)
(0,1)
c)
(0,3)
d)
(0,20)
70.
You invest $400 for 5 years and the interest rate is 4.29% each year.
a)
y=400(0.0429)5
b)
y=400(1.0429)5
c)
y=400(4.29)5
d)
y=400(4.29)(5)
71.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
72.
320
a)
0
b)
32
c)
2.4
d)
1
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