### Function g

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

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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.

Expand the square (4z - 4)^2.

In a "WEIRD" Mathematical system, the following is true: 11+1=1 11+2=2 5+2=2 3+5=8 5+10=4 12+9=10 9+8=6 18+28=2 27+13=7 10+9=8 11+11=11 33+7=7 22+16=5 15+12=5 15+7=11 23+10=11 22+1=1 35+12=3 These are clues! After figuring out the system answer this problem: 152+46=? It can be a combination of anything,

(See attached file for full problem description). Evaluate lim f(x) for the function given below - X0+ x + 1 x ≤0 f(x) = { x - 2 x > 0.

Question Please select all the situations below that are POSSIBLE and do not mark those that are IMPOSSIBLE. Each list of numbers is a degree list (list of the degrees of all the vertices) of a graph. If there are extra restrictions - the graph is simple, or a tree, etc - it will be noted in the question. a. Graph, degre

Question 1 Consider the functions f(x) = x^2 and g(x) = square root of x, both with domain and co-domain R+, the set of positive real numbers. Are f and g inverse functions? Give a brief reason. Question 2 Given the Hamming distance function f: A X A -> Z defined on pairs of 8-bit strings, (where A is the set o

X+y<1 or y<4

Refer to the graph given (attached) and identify the graph that represents the corresponding function. Justify your answer. y = 2x y = log2x

-1≤ 3 -2x<11 keywords: inequality

Solve equations with radicals and exponents and create graphs of functions. See attached file for full problem description.

Show that a function f is measurable IF AND ONLY IF there exists a sequence (f_m) of set functions such that f(x)=lim f_m(x) for almost all x. Please make sure to show the proof in both directions.

If f is measurable and almost everywhere nonzero, show that 1/f is measurable.

Given the table below, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. x -2 -1 0 1 2 y .111 .333 1 3 9 See attachment

1. The number of 4-year college, public and private, in the period 1980-1996 can be modeled by f(x)=0.0003x^3 - 0.007x^2+0.058x+1.957 0 less than or equal to X less then or equal to 16 Where X is the number of years since 1980 and f(x) is the number of 4-year colleges measured in thousands. Determine the average number

For the function, y = ___1____ x - 2 a) Give the y values for x = -2, -1, 0, 1, 2, 3. Answer: Show work in this space. b) Using these points, draw a curve. Show graph here.