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Graphs and Functions

GRAPHS and COMPOUND INEQUALITY

I need to graph the solution set to each compound inequality. 1. x > - 2 and x < 4 (Please note that this symbol < is underlined) sorry I don't know how to do the underlining. I need to graph each compound inequality for this problem 2. 3 - x < y + 2 or x> y + 5

Graphing and Solving Equations

1. Evaluate. (-8)2 - 19 A) 45 B) -83 C) -35 D) -45 2. Solve and graph the solution set. 4x + 9 &#61619; 3x + 16 A) -7 0 B) 0 7 C) -7 0 D) 0 7 3. An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 67, 74, and 63 on the first three exams. Write

Collinear Points

1. Use the Concept of slope to find t such that the three points are collinear. 1)(1,-4),(t,3),(5,10) 2. Find an equation of the line that passes through the given point and has the specified slope, and find three additional points through which the line passes. 1)point:(2,-1) Slope:m=1/4 2)point:(0,-5) Slope:m=3/2 3.

Graphing a Function

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...

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 +

Decreasing Functions

On which interval is the function below decreasing? f(x) = x2 - 6x + 5 Please show this answer in inequality notation. Thanks

Complete the chart

The function g is defined by the following rule: g(x) = 5x - 3 x g(x) -5 0 1 2 5 .

Complete the table

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 function

On a number line, graph the domain of the function v defined by v(x) = sqrt( -8x - 8)

Using a Parabola: Maximum Height Reached by a Soccer Ball

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?

Parabolas

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 f

(See attached file for full problem description) Let f (x) = x2 + 3x - 17. Find f &#8242; (4).

Find the interval on which the function

See attached file for full problem description. Find the interval on which the function 2 2 ( ) ( 2) ( 3) f x x x = &#8722; + 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.