Answer:
{-11, -9, -7, -5, -3}
Step-by-step explanation:
Put each domain value into the function to find the corresponding range value. The range is the list of all of those values.
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range = f(domain)
= 2{-2, -1, 0, 1, 2} -7 = {-4, -2, 0, 2, 4} -7
= {-11, -9, -7, -5, -3} . . . . . the range for the given domain
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If you have a lot of function values to find, a spreadsheet or calculator can be helpful.
Answer:
Therefore the solutions are
Step-by-step explanation:
Given:
.........( 1 )
................( 2 )
To Find:
x = ?
y = ?
Solution:
Substituting ' y ' in Equation 1 we get
Using identity (A+B)²=A²+2AB+B² we get
Now Substitute x =0 in equation 2 we get
Or
Now Substitute x =-4 in equation 2 we get
Therefore the solutions are
Answer: y = -5x + 6
Step-by-step explanation:
First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula:
So, to use this formula, you pick two points from the line that you're given and solve for m.
Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6
So, the slope is -5
Then, we need to find the y intercept, which would be b in the formula.
We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.
Now let's put everything together:
y = mx+b
y = -5x + 6
Answer:
The variable that represent the slope is 'm' and the variable that represent the y-intercept is 'b'.
Step-by-step explanation:
The equation of a line in slope-intercept form is given as:
Here, the variable 'm' is the coefficient of independent variable 'x' and represents the slope of the line.
The constant term in the given equation is 'b' and it represents the y-intercept of the given line.
Slope is defined as the ratio of rise or fall over run. In other words, slope is the ratio of change in value of 'y' with change in value of 'x'.
Slope is positive if change in 'y' is positive with increasing 'x' and it is negative if change in 'y' is negative with increasing 'x'.
y-intercept is the point where the line crosses the y-axis. So, the 'y' value of that point is y-intercept. The coordinates of the point is given as (0, b).
So, the variable used for the slope is 'm' and 'b' is used for y-intercept.