What is the domain and range of y=-0.7x+1.9 and y=0.7x+1.9?

In summary, the function that models each half of the roof is y = -0.7x + 1.9 for the left half and y = 0.7x + 1.9 for the right half. The domain for the left half is -2.7 ≤ x ≤ 0 and the range is 0 ≤ y ≤ 1.9. The domain for the right half is 0 ≤ x ≤ 2.7 and the range is 0 ≤ y ≤ 1.9. When graphed, this represents a triangle with a maximum range of 1.9 and a minimum range of 0, as a side of a triangle cannot be negative. By solving for y = 0
  • #1
milliex51
8
0

Homework Statement


State the domain and range of the function that models each half of the roof (triangle)


Homework Equations


Y= -0.7x+1.9 (left half)
Y= 0.7x+1.9 (right half)

The Attempt at a Solution



Why is the answer:

Left half: domain: −2.7≤x≤0 range: 0≤y≤1.9
Right half: Domain: 0≤x≤2.7 range: 0≤y≤1.9

I don't understand.
 
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  • #2
Haven't you tried graphing this on your calculator?
 
  • #3
yes I did, and I don't get how for the domain -2.7 is less than or equal to x less than or equal to 0?
 
  • #4
If it's modelling a triangle, then draw a picture.

You'll see that the maximum value of the range is 1.9 (the intersection of the two lines) and the minimum is 0 (because a side of a triangle can't be negative).

Then solve the equations for y=0 and y=1.9 to get the values of the Domains.
 

FAQ: What is the domain and range of y=-0.7x+1.9 and y=0.7x+1.9?

1. What is the domain of y=-0.7x+1.9 and y=0.7x+1.9?

The domain of both equations is all real numbers, as there are no restrictions on the values that x can take on.

2. What is the range of y=-0.7x+1.9 and y=0.7x+1.9?

The range of both equations is also all real numbers. As x increases or decreases, y will approach positive or negative infinity, respectively.

3. How do you find the domain and range of a linear equation?

To find the domain, you can set the equation equal to 0 and solve for x. To find the range, you can graph the equation and look at the values of y that the line passes through.

4. Can the domain and range of a linear equation change?

No, the domain and range of a linear equation are fixed and will not change unless the equation itself is modified.

5. How does the slope affect the domain and range of a linear equation?

The slope affects the steepness of the line, which in turn affects the range. A larger slope will result in a steeper line and a larger range, while a smaller slope will result in a shallower line and a smaller range.

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