What are the critical points for f(x) = x/(1 + x^2)?
Find the critical points, determine their nature (maxima, minima, inflection, etc.) and sketch the function: f(x) = x/(1 + x^2)
Find the critical points, determine their nature (maxima, minima, inflection, etc.) and sketch the function: f(x) = x/(1 + x^2)
For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent," and answer the question about its solutions. a) Line one y=2x+8 Line two y=-2x - 4 b) line one y=-2x+1 line two y= -2x+4 c) line one y= 1/3x-1 line two - x +
Graph the parabola: y=(x+5)^2 + 3 To graph the parabola, plot the vertex and four additional points, two on each side of the vertex, and then click on the graph icon
Solve the following equation for x by using the quadratic formula: 4x^2 - 7x - 1=0 (If there is more than one solution, separate them with commas.)
On which interval is the function below decreasing? f(x) = x2 - 6x + 5 Please show this answer in inequality notation. Thanks
Find the averages of the function f(x) = x2 + 1 on the interval [1, 10], and for integer values of x. Compare the results.
In the following problems determine the set of Z satisfying the given equations 1. |Z|=|Z-i| 2. |Z|^2 + Im(z)= 16 3. |Z-i|+|Z| = 9 Where: Z = x+yi __ Z = x-yi.
The function g is defined by the following rule: g(x)=3x-1 . Complete the function table x g(x) -5 0 2 3 4
1.WORLD GRAIN DEMAND Freeport McMoran projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand. What will world grain demand be in 2010? 2. CAR SELLING Ronald wants to sell his car through a broker who charges a commission of 10% of the selling price. R
The function g is defined by the following function table. Graph the function. x g(x) -3 -4 -2 4 -1 3 2 2 3 -1
The function h is defined by the following rule: h(x) = x+2 x -2 0 3 4 5 .
The function g is defined by the following rule: g(x) = 5x - 3 x g(x) -5 0 1 2 5.
The function g is defined by the following rule: g(x)= 5x+ 2 complete the table below x g(x) -2 0 1 2 3
Graph the set {x|-7<x<1} on the number line below, and also write the set using interval notation. Graph the set {x | -5 x -2} on a number line, and also write the set using interval notation.
On a number line, graph the domain of the function v defined by v(x) = sqrt( -8x - 8)
The function g is defined by the following function table. Graph the function. x g(x) -4 -2 -2 2 0 -4 2 2 3 4
The function h is defined by the following rule: . h (x)=-3x - 3 Complete the function table. x h -4 0 3 4 5
Graph each absolute value function and state its domain and range. y=|x - 1| + 2
Graph each absolute value function and state its domain and range. g(x) =|x| - 3
Determine whether each table expresses the second variable as a function of the first variable. C h 345 0.3 350 0.4 355 0.5 360 0.6 365 0.7 370 0.8 389 0.9
Determine whether each relation is a function. {(2, -5), (2, 5), (3, 10)}.
If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t^2 + 32t where t is time in seconds. Graph this parabola for 0 < or equal to t < or equal to 2. What is the maximum height reached by the ball?
Determine whether the graph of each parabola opens upward or downward. y= -1/2x^2+3
Use the product rule to find the slope of the line tangent to the graph of the function. f (x) = x^2 (1 + 3x3) at the point (1, 4)
Find five numbers with a mean of 16,a median of 15, a mode of 21 and a range of 11.
How does one graph the following? 5 y= - --- x^2 4
1. State the key features (vertex, focus, directrix, direction of opening, and axis of symmetry) of each parabola, and sketch the graph. a) ysquared-2x+4y-7=0 2. Find the equation of each parabola. a) parabola with focus (-2,-1) and directrix y=5 b) ysquared=-6x translated according to ((x,y)arrow(x-2, y+4)
Find the imaginary solutions to each equation. 3y^2 + 8=0
(See attached file for full problem description) Let f (x) = x2 + 3x - 17. Find f ′ (4).
See attached file for full problem description. Find the interval on which the function 2 2 ( ) ( 2) ( 3) f x x x = − + is increasing and decreasing. Sketch the graph of y = f(x), and identify any local maxima and minima. Any global extrema should also be identified.