Reference no: EM131015027
1) Select all of the following tables which represent y as a function of x and are one-to-one.
a.
b.
c.
2) For the following function, evaluate: f(-2),f(-1),f(0),f(1),and f(2).
f(x)= 3x/2x
3) Find the domain of the following function.
f(x)= √((x+5))/(x-3)
4) Find the average rate of change of the below function over the interval of x values specified.
f(x)=4x2 - 7 on [-1, 2]
5) For the function graphed below, estimate the locations of the local extrema, inflection point(s), and the intervals over which the function is increasing, decreasing, concave up, and concave down.
![627_graph5.png](https://secure.expertsmind.com/CMSImages/627_graph5.png)
6) For the pair of functions below, find the composite functions f(g(x))and g(f(x)). Simplify your answers if possible.
f(x)= 1/(x2+2) and g(x)=4x+3
7) Write an equation for the transformed toolkit function graphed below.
![2457_graph7.png](https://secure.expertsmind.com/CMSImages/2457_graph7.png)
8) For the function below, find the inverse function f-1 (x).
f(x)=-3x+2
9) Find the equation of a linear function with x-intercept at point (-5, 0) and y-intercept at point (0, 4).
10) Find the point of intersection (if any) of the following two functions.
f(x) = x + 5 and g(x) = 2x - 2
11) Find the equation of a line perpendicular to the line defined by the function below and passing through the point (4, 2).
f(x) = 2x+4
12) A hypothetical student is working on a 25-question take-home final exam. After 1 hour, the student has completed 4 questions. After 3 hours, the student has completed 12 questions. Assuming a linear rate of completion, how long will it take the student to complete the exam?
13) Solve the following equation.
|4x + 2| = 15
14) Find the vertical and horizontal intercepts of the function below.
g(x) = x2 + 2x - 4
15) Rewrite the quadratic function below in vertex form.
f(x) = 2x2 - x - 3
16) Write a formula for the polynomial graphed below.
![377_graph16.png](https://secure.expertsmind.com/CMSImages/377_graph16.png)
17) For the function below, find the horizontal intercept(s), the vertical intercept(s), the vertical asymptote(s), and the horizontal asymptote(s).
f(x)= (2x2-3x-20)/(x2-5)
18) Find a formula for an exponential function passing through the points (1, 2) and (3, 6).
19) A population is growing at a continuous rate of 3% per year. If the population is 125,000 today, what will the population be 5 years from now?
20) Solve the following equation for x.
log x = 5
21) Solve the equation for the variable.
10e-0.03t = 4
22) A radioactive substance decays at a continuous exponential rate. Starting from 200 mg, after 26 hours, 132 mg remains. How much of the substance will remain after 40 hours?
23) If $1000 is invested in an account earning 2% compounded quarterly, how long will it take the account to grow in value to $1500?
24) Solve for the variable x in the following equation.
log (x+5) - log x+1) = 2
25) Find the time required for an investment to double in value if invested in an account paying 3% compounded monthly.