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- 1. Multiple Choice
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. The equation is given by y=4000(1.25)x .How many mosquitoes will there be after 4 months?
9766
9006
9765
5433
- 2. Multiple Choice
What is the domain of y=2(1.5)X?
Hint: Type the equation in DESMOS to see the graph
y is less than 0
x is less than 12
y greater than 0
All Real Numbers
- 3. Multiple Choice
What is the range of y = 5x?
Hint: Type the equation in DESMOS to see the graph
All Real Numbers
All real numbers greater than 5
All real numbers greater than 0
All real numbers less than 0
- 4. Multiple Choice
Which of the following functions is represented by this graph?
Hint: DESMOS
f(x)=2(1.2)x
f(x)=2(0.75)x
f(x)=6(0.75)x
f(x)= −2(0.75)x
- 5. Multiple Choice
Elise has $100 in her bank account. The account earns 2% interest every year. y=100(1.025)x represents the amounts, y, in dollars, of the bank account after, x years. Which statement is the best interpretation of one of the values in this function?
The initial amount is $1.02
The amount increases by a rate of 2.5%
The amount increases by a rate of 1.025%
The amount at the end of one year is $100
- 6. Multiple Choice
The value of a car is $15,000 and depreciates at a rate of 8% per year. The exponential function is given by: a(x)= 15000(0.92)x. What does 15000 represent?
The growth factor
The decay factor
The original value of the car
The value of the car in Year 10
- 7. Multiple Choice
Which statement about the graph y=4(0.667)X is FALSE?
Hint: Type in DESMOS to see the grapg
The graph has a horizontal asymptote
The graph has an asymptote at y=0
The graph decreases from left to right
The graph touches the y-axis at (0,5).
- 8. Multiple Choice
What is the range of the function?
y > 0
y < 2
x>2
x<1
- 9. Multiple ChoiceWhat is the y-intercept of the function?231-2
- 10. Multiple ChoiceA new savings account is opened with $400 and gains 3% every yr. What is the exponential equation?f(x)= 400(.03)xf(x)= 400(1.03)xf(x)= 400(3)xf(x)= 400(.97)x
- 11. Multiple ChoiceThe NCAA basketball tournament starts with 64 teams. During each round, half of the teams are eliminated. What is the y-intercept for this function?(64, 0)(0, 0)(0, 64)Cannot be determined
- 12. Multiple ChoiceWhat is the equation of the horizontal asymptote?y=1y=0x=0x=1
- 13. Multiple Choice
Which graph best represents f(x) = 2(3) x?
- 14. Multiple ChoiceWhat is the DOMAIN of this graph?
Remember: DOMAIN is the x from left to right.x < -3x ≤ -3x > -3x ≥ -3 - 15. Multiple Choice
The value of a car is $15,000 and depreciates at a rate of 8% per year. Which function models the value of the car.
Hint: Growth or Decay
a(x)= 15000x(1.08)
a(x)= 15000(1.08)x
a(x)= 15000(0.92)x
a(x)= 15000x(0.92)
- 16. Multiple Choice
What is the domain of the function graphed on the grid?
-4 ≤ x < 5
-4 ≤ x ≤ 5
-3 ≤ x < 3
-3 < x ≤ 3
- 17. Multiple Choice
The graph represents an exponential growth situation.
Eventually, the car will be worth exactly $0.
The starting value of the car was $12,000.
The equation of the vertical asymptote is x=0
- 18. Multiple ChoiceWhat is the equation for the table?y = 4(2)xy = 2(4)xy = 2(8)xy = -2(4)x
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