When it says graph the function using the given values of x and the domain and the range.

1) f(x)=x^2+4 ; x= -3, -2, -1, 0, 1, 2, 3

2)G(x)= squareroot of x+3 ; x= -3, -2, 1, 6

3.H(x)= |x|-4 ; x= -3,-2,-1,0,1,2,3

4.f(x)=4 ; x= -3,-2,-1,0,1,2,3

5.G(x)=x^3+1 ; x= -2,-1,0,1,2

Help?

I Don't Understand it.

1. F(x) = Y = x^2 + 4.

Calculate Y for each value of X given;
then, graph the function.
(X,Y). Y = x^2 + 4.
(-3,13)
(-2,8)
(-1,5)
V(0,4) Finish the table.
(1,y)

2. G(x) = Y = sqrt(x+3).
(X,Y).
(-3,0)
(-2,1). Y = sqrt(-2+3) = +-1.
(-2,-1)
(1,y)
(1,-y)
(6,y)
(6,-y)
NOTE: When you take the sq. root,you get
positive and negative number(+-).

3. H(x) = Y = |x|-4.
(X,Y).
(-3,-1). Y = |-3}-4 = 3 - 4 = -1.
(-2,-2). Y = |-2| - 4 = 2 - 4 = -2.
(-1,-3)
(0,y)
(1,y)
(2,y)
(3,y)
NOTE: The absolute value of any number
is positive.

4. F(x) = Y = 4. = A hor. line.
Y is constant;therefore, Y = 4 for all values of X:
(X,Y).
(-3,4)
(-2,4)
(-1,4)
(0,4) Finish the table.

5. G(x) = Y = x^3 + 1.
(X,Y).
(-2,-7)
(-1,0)
(0,1) Finish the table.

To graph a function using given values of x, domain, and range, you would follow these steps:

1) Start by creating a coordinate plane with x and y axes.
2) Identify the given values of x.
3) Substitute each x-value into the function to find the corresponding y-values.
4) Plot the points (x, y) on the coordinate plane.
5) Connect the plotted points to create the graph of the function.

Now let's go through each example step by step:

1) f(x) = x^2 + 4 ; x = -3, -2, -1, 0, 1, 2, 3
- Substitute each x-value into the function to get the corresponding y-values.
- For example, when x = -3, f(-3) = (-3)^2 + 4 = 9 + 4 = 13.
- Repeat this process for each given x-value.
- Plot the points (-3, 13), (-2, 8), (-1, 5), (0, 4), (1, 5), (2, 8), (3, 13) on the coordinate plane.
- Connect the plotted points to form a curve.

2) G(x) = √(x + 3) ; x = -3, -2, 1, 6
- Follow the same steps as above.
- When x = -3, G(-3) = √(-3 + 3) = √0 = 0.
- For x = -2, G(-2) = √(-2 + 3) = √1 = 1.
- Continue this process for the remaining x-values.
- Plot the points (-3, 0), (-2, 1), (1, 2), (6, 3) on the coordinate plane.
- Connect the plotted points.

3) H(x) = |x| - 4 ; x = -3, -2, -1, 0, 1, 2, 3

- Follow the same steps as above.
- When x = -3, H(-3) = |-3| - 4 = 3 - 4 = -1.
- For x = -2, H(-2) = |-2| - 4 = 2 - 4 = -2.
- Continue this process for the remaining x-values.
- Plot the points (-3, -1), (-2, -2), (-1, -3), (0, -4), (1, -3), (2, -2), (3, -1) on the coordinate plane.
- Connect the plotted points.

4) f(x) = 4 ; x = -3, -2, -1, 0, 1, 2, 3
- This function is constant, meaning the y-value is always 4 regardless of the x-value.
- Plot the points (-3, 4), (-2, 4), (-1, 4), (0, 4), (1, 4), (2, 4), (3, 4) on the coordinate plane.
- Connect the plotted points with a horizontal line at y = 4.

5) G(x) = x^3 + 1 ; x = -2, -1, 0, 1, 2
- Follow the same steps as above.
- When x = -2, G(-2) = (-2)^3 + 1 = -8 + 1 = -7.
- For x = -1, G(-1) = (-1)^3 + 1 = -1 + 1 = 0.
- Continue this process for the remaining x-values.
- Plot the points (-2, -7), (-1, 0), (0, 1), (1, 2), (2, 9) on the coordinate plane.
- Connect the plotted points.