Other Functions
Logarithmic Functions
Exponential Functions
Linear Functions
Quadratic Functions
100
If your age is modeled by the function f(x)= x^100+16, and x=1, then what is your current age?
What is 17.
100
A function is modeled by t(x)=ln(x-2). If x=w+2, then what is the value of t(x)?
What is t(x)=ln(w)
100
A function is modeled by g(z)=2e^z-4. If g(z)=5, then what is the value of z?
What is z=ln(9/2) or z=1.50.
100
A function is modeled by f(x)=2x-4. If f(x)=0, then what is the value of x?
What is x=2
100
A function is modeled by f(x)=x^2-4. If f(x)=0, then what are the values of x?
What is x=2 and x= -2
200
If f(x) = 2x-5, then what is the value of f(2) + f(5)?
What is 4.
200
If f(x)=ln(5x+10), then what is f(-3)?
What is undefined.
200
If f(x)=2e^2x+15, then what is f(ln(e))?
What is 2e^2+15 or 29.78
200
If y(p)= 2p+5, then what is y(x)?
What is y(x)=2x+5.
200
If f(x)= 3x^2+5x-2, then what is f(2)?
What is 20.
300
Find f(3+4+5) if f(x)= (x+4)^(1/2).
What is 4.
300
If ln(x)=1, then what is x?
What is e
300
A police officer pulls you over and says the speed limit is modeled by the function f(x)=2e^x, when x=3. What is the speed limit?
What is 40.17 miles per hour.
300
If a line passes through the points (2,2) and (3,3), then what is the equation of the line.
What is y=x
300
If the amount of time you play Playstation 4 is modeled by the function f(x)=-x^2-8x+4 and x is the hours. What is the maximum amount of time you can play Playstation 4 during the day?
What is 20 hours.
400
A stock's price is modeled by the function f(x)= ln(e)+10000000000000000^x-50x+250. What is the price of the stock, if x=0.
What is 252.
400
The University of Rochester's acceptance rate is modeled by f(x)= ln(x-14000)-8, where x is the number of applications and x>14000. If the University of Rochester receives 18000 applications, then what is its acceptance rate?
What is 0.294 or 29.4%
400
In 20 years time, the tuition for University of Rochester is $100,000/year. How much must you put in a compounding interest bank today in order to have $100,000 in 20 years, assuming a 5% interest rate per year. Hint: A=P(1+r)^t.
What is $37,688.95
400
Your test score is dependent on the number of hours you study. If your test score is modeled by the function f(x)=2x+30, where x is the number of hours you study and x is between 0 and 35. If you have studied for 30 hours, what is your test score?
What is 90.
400
Convert this function into vertex form f(x)=x^2-8x+22. hint: vertex form is written as f(x)=a(x-h)^2+k
What is f(x)=(x-4)^2+6
500
Thomas tells you that a young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5 kilograms per month. After 11 months, he weighed 140 kilograms. Design a function W(t) that models the weight of the wrestler.
What is W(t)=5t+90
500
After asking your crush for their phone number, they have said that their number, x, is modeled by the function f(x)=ln(x), when f(x)=22.94. What is their number? Hint: use the law of logarithms.
What is 917-731-0272
500
As the population of Rochester increases, the amount of garbage it produces also increases. This year, the city produced 13,000 tons of garbage. If the amount of garbage produced increases by 15% each year, how much garbage will be produced 3 years from now? Hint: A=P(1+r)^t.
What is 19,771.38 tons.
500
Before beginning singing lessons, you already knew how to sing 2 songs, and you expect to learn 2 new songs during each week of the lessons. In week 20, how many songs do you know?
What is 42 songs.
500
You throw a ball at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t^2 + 19.6t + 58.8, where s is in meters. After how many minutes does the ball you have thrown strike the ground? Hint: Solve for t.
What is 6 seconds.
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