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35 questions
What is the asymptote of y = log2(x - 3) ?
y = 0
x = 0
y = 3
x = 3
What is the asymptote of y = 2x - 3?
y = 0
x = 0
y = -3
x = -3
Which one means left
Which one means up
Which one means the function goes down on the left
What does the y-intercept of the graph represent?
The amount of grams the material is gaining.
The initial amount of grams.
The amount of grams the material is losing.
The amount of grams remaining after so many years
What is the Growth/Decay factor of the function f(x)= 2(4)x ?
2
4
8
x
Write an equation that models the following situation:
The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.
y= 6500(1+.14)x
y= 6500(14)x
y= 6500(1-.14)x
y= 14(6500)x
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
$176,783.29
$57,357.75
$424,527.63
$532,041,076.80
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
14327
839
4309
7680
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
$15,415.94
$15,927.56
$15,683.28
$16,109.05
Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?
$827.52
$839.45
$831.10
$846.80
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?
y= 7650(.14)3
y= 7650(1+.86/1)3*1
y= 7650(.86)3
Which equation matches the graph?
y = 2x+3
y = 2x
y = 2x + 3
y = 2-x
A certain college has been raising tuition every year since the year it opened. The function T = 12,000 (1.03)x represents the tuition, T, after x years.
If the college opened in the year 1990, what would you predict the tuition will be in the year 2020?
$20,000
$29,127
$2,020
ln e5=
e5
5
ln 5
5e
Which of the following is the value of x given;7e(3x-5) = 49
x = 2.315
x = 2.964
x = 0.681
No Solution
Rewrite in exponential form:ln(2) = x
2x = 10
ex = 2
102 = x
e2 = x
3e2x + 10 = 25
{-3.940}
{0.451}
{1.228}
{0.805}
2.226
0.742
6.677
1.075
Solve for x
ln (x-25)=0.5
12.182
3.649
-0.351
1.307
0.564
0.693
0
1.079
This question is SLIGHTLY a challenge but you should all be able to do it :)
log x - log 8 = 3
1000
8000
800
100
log (x - 1) - log (x - 2) = log 5
7
9/4
4/9
1/7
log6(2x + 3) = 3
x = 106.5
x = 16
x = 100
x = 50
log8(4x+4)=2
15
10
12
3
Decrease by 95%
Decrease by 5%
Increase by 5%
Increase by 95%
.
I think this graph represents a growth. How accurate am I in my assertion?
You are correct. b value is greater than 1
You are incorrect. b value is less than 1
Identify the function y = 100(6x) as an example of exponential growth or decay. What is the y-intercept?
exponential decay; y-intercept: 6
exponential growth; y-intercept: 6
exponential decay; y-intercept: 100
exponential growth; y-intercept: 100
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.Is the population of elephants increasing or decreasing?
Increasing
Decreasing
Which of the following is an increasing exponential function whose y-intercept is 50?
y = 50(.05)x
y = (2)x + 50
y = 50x - 4
y = 50(1.4)x
Prescription A has an initial value of 1200 mg/L and a half-life 6 hours. Which equation will help us determine the remaining level after 1 day?
Florine-21 has a half-life of 4 seconds. You begin with a 50 mg sample of Florine-21.
Which exponential equation would represent the amount of Florine-21after t seconds.
Determine the horizontal asymptote for the function
f(x) = 3(2)x-4 + 5
x = 4
x = 5
y = 4
y = 5
What is the asymptote of y = log2x - 3 ?
y = 0
x = 0
y = 3
x = 3
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