In an exponential function, what does the 'a' represent?
SLOPE
RATE OF CHANGE
Y-INTERCEPT
COMMON RATIO
2. Multiple Choice
1 minute
1 pt
What is b, the common ratio, for the function: f(x) = 300(1.16)x?
300
1.16
.16
x
3. Multiple Choice
1 minute
1 pt
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
-5
-.05
.95
.05
4. Multiple Choice
1.5 minutes
1 pt
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
y = 15(35)x
y = 15(1.35)x
y = 15(0.35)x
y = 35(1.15)x
5. Multiple Choice
1 minute
1 pt
Classify the model as Exponential GROWTH or DECAY. A=1200(.85)6
Growth
Decay
6. Multiple Choice
1 minute
1 pt
Classify the model as Exponential GROWTH or DECAY. A=10(1.01)3
Growth
Decay
7. Multiple Choice
1.5 minutes
1 pt
What is the decay rate in the following model? A=1200(.85)6
-1200
-.15
6
-6
8. Multiple Choice
1.5 minutes
1 pt
Is the pictured graph growth, decay, or linear or none?
Exponential Growth
Exponential Decay
Linear
None
9. Multiple Choice
1 minute
1 pt
What type of function is y = 7(5/4)x?
Exponential Growth
Exponential Decay
Linear
None of the above
10. Multiple Choice
1 minute
1 pt
Is this exponential growth or decay?
Growth
Decay
11. Multiple Choice
1.5 minutes
1 pt
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
70(2)35
70(2)5
2(70)5
5(70)2
12. Multiple Choice
1.5 minutes
1 pt
Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
y=6(0.14)x
y=6(1+14)x
y=6(1.14)x
y=6(0.86)x
13. Multiple Choice
30 seconds
1 pt
What is the horizontal asymptote of the exponential function?
y=-3
x=-3
y=1
x=1
14. Multiple Choice
30 seconds
1 pt
Find the range of the exponential graph.
All real numbers less than 0
All real numbers greater than 0
All real numbers less than or equal to 0
All real numbers greater than or equal to 0
15. Multiple Choice
30 seconds
1 pt
Identify the domain of this exponential function?
All real numbers
All real number greater than or equal to 0
All real numbers greater than 0
All real numbers less than or equal to 1
16. Multiple Choice
30 seconds
1 pt
Identify the range of the function shown here.
All real numbers greater than 3
All real numbers greater than or equal to 3
All real numbers less than 3
All real numbers less than or equal to 3
17. Multiple Choice
30 seconds
1 pt
Which of the following is a true statement about the two exponential graphs shown?
The domain of f(x) is different from the domain of g(x)
g(x) has a horizontal asymptote that is lower than the asymptote of f(x)
The graphs have the same initial value
The graphs have a different x-intercept
18. Multiple Choice
3 minutes
1 pt
What is the y-intercept of the function?
2
3
1
-2
19. Multiple Choice
1 minute
1 pt
Determine if the graph represents growth or decay. Also determine the y-intercept.