Graph the functions in parts (a)and (b) in the same rectangular coordinate system. a. Graph f(x) = |x| using the ordered pairs (-3, f(-3)),(-2, f(-2)), (-1, f( -1)), (0, f(0)), (1, f(1)), (2, f(2)), and (3, f(3)).b. Subtract 4 from each y-coordinate of the ordered pairs in part (a). Then graph the ordered pairs and connect them with two linear pieces.c. Describe the relationship between the graph in part (b)and the graph in part (a).

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

Q: Find the graph of the function y=x^3-3x^2+2x

A: Explanation of the answer is as follows

Q: Use the graph of f(x) = |x| to write an equation for the function whose graph is shown. 20 y 16+ 12+…

A:

Q: The graph of a function y=f(x) can have more than one of which type of intercept

A: Given query is to find which intercept can be more than one.

Q: In Problem,determine whether the equation defines y as a function of x. x=y2

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Determine the end behavior of the graph of the function. m (x) = – 4(x+1)(3x- 2)²(x+ 5)ª As x → -…

A: Recall: The end behavior of a polynomial function is the behavior of the graph of f(x) as x…

Q: Plot five points on the graph of the function f(x)=(1/2)^x

A: f(x) = (0.5)x Because 1/2=0.5

Q: The graph of y = -f(x) is the graph of y = f(x) reflected about the________ .

A:

Q: Draw the graph of f(x) – (x + 3)?

A:

Q: Use the graph of the function to identify its domain and its range.

A:

Q: To graph the sum of two functions y = y 1 + y 2 , at each point add the ___-coordinate from the…

A: To graph the sum of two functions y = y 1 + y 2 , at each point add the x-coordinate from the point…

Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

A:

Q: Graph the function for the given domaln. y =x2-3 D-3,-2-1,0,1) y 7. 3 -1 -2 -3 -5 -6 -7 -8 -8 -7 -6…

A: The given function is y=x2-3 and domain D={-3,-2,-1,0,1}

Q: Does the graph shown below represent y as a linear function of x?

A: Linear function are those whosegraph is a straight line.

Q: Sketch the Graph of the following functions. y= (×-3)^2 + 2  y= (×+3)^2-1

A: Graph of the functions  y=x-32+2 &amp; y=x+32-1

Q: Sketch the graph of the function y = 2x

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: In Problem,determine whether the equation defines y as a function of x. x2-4y2=1

A:

Q: Find the slope of the graph of the function at the given point.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Graph the function for the given domain. y=x2-3 D3,-2,-1,0, 1}

A:

Q: In Problem,determine whether the equation defines y as a function of x. y2 = 4 - x2

A:

Q: 3 2 1. -5 -4 -3 -2 -1 1 2 3 -1 4 5 -2 -3 -4 -5

A:

Q: Define the graph of the function f(x) = x^2?

A: fx=x2 x f(x) 0 0 1 1 2 4 -1 1 -2 4

Q: Determine the end behavior of the graph of the function. h (x) = 11x° + 7x* – 5x' +7x-7 As x-00, h…

A:

Q: Sketch the graph of the function y= x(2x+1) (x-3) (x-5) y= x^2(3x-2)^2

A:

Q: Use the graph of f(x) = x2 to write an equation for the function represented by each graph.

A: (a) Let the given graph be gx and it passes through 1, -3    ……1

Q: Sketch the graph of y = f(x). е.

A: The graph of y=f(x) will be

Q: Use the Vertical Line Test to determine whether each graph represents y as a function of x.

A: Given, Use the Vertical Line Test to determine whether each graph represents y as a function of x.

Q: Use the graphs of f and g to graph h(x) = ( f + g)(x).

A: Here the graph of f(x) and g(x) is

Q: Use the graph of y = f(x) to graph the function g(x) = -f(2x)

A: Given graph of y=f(x):

Q: Sketch the graph of y = f(2x) and y = f(½x), where f(x) = lxl + 1

A: It is given that, f(x)=|x|+1   and if y=f(2x), then the function will be, y=f(2x)⇒y=|2x|+1⇒y=2|x|+1…

Q: 57 4- 3- 2- 1- -7 -6 -5 -4 -3 -2 -i 0l i e 3 4 5 6 7 -3- -4- -5+

A: Consider the given graph and from the graph it can be seen that:

Q: Determine the function f represented by the graph of the line y= f(x) in the figure. f4.-4P -10 (6.-…

A: equation of line passes through two points (x1 , y1) and ( x2 , y2 ) is :  (x2 - x1) (y - y1 ) = (…

Q: The graph of y = -f(x) is the graph of y = f(x) reflected about the ___.

A: Given that function y = f(x) and we are asked to find the nature of graph of y = -f(x).

Q: y = (x +2)x² - 1

A:

Q: Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the…

A:

Q: Use the graph of the function to identify its domain and its range.

A: Given graph of the function is: Domain is the value of x for which function is defined. From the…

Q: Use the graph of y= f(x) to graph the function g(x) = f(x- 2) -4. y = f(x) 8-

A: In general, for a function f(x), the transformation does the follows f(x+a) - shift the graph…

Q: Sketch the graphs of the functions. (x) = -x2 + 3x and g(x) = x - 3 y 20 10 -10 -8 -6 -4 -2 6 8 10 -…

A: Sketch the graph of f(x)=-x2+3x and gx=x-3. Plot the points to draw the graph f(x)=-x2+3x. x…

Q: 7- -6 -5 4 -3 -2 -1 1 2 3 4 5 6 4- Write an equation for the function graphed above. y =

A: The graph is as shown :

Q: sketch the graph of the function y= x-4X +3

A:

Q: Create a table of values of the function, f(x) = 2x + 2 then graph. %3D X y 1 4

A:

Q: The graph shows the relationship between the number of gallons of fuel remaining in the tank of a…

A: i The equation of line with point x1,y1 &amp;      x2,y2 on it is given by…

Q: Sketch the graph of the function. y = −4 csc 3x

A: Given: y=-4csc 3x

Q: Sketch the graph of the function. y = csc x/2

A: We have to graph of y=csc x2 First, we will make a table of cosec x2

Q: Graph on a Cartesian plane the function h(x)= X-2

A: To graph the function hx=x-2

Q: Sketch the graph of the function. [√x if xs-1 X if -1 2 y -4 O -4 -2 -2 41 2 2 -4 -2 2 -4 -2 2 x (

A:

Q: 7- 6- 12 -6 -5 -4 -3 -2 4 -2 -6- -7 -8- Write an equation for the graph above. f(x) = to

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.