Question 4: Given the equation y = -2x + 8, find the range.
The equation y = -2x + 8 represents a linear function with a negative slope. The y-intercept is 8, meaning the line crosses the y-axis at (0, 8), and as x increases, y decreases without bound.
Thus, the possible values for y can be any real number since there is no restriction on how low or high y can go. Therefore, the range is:
(-infinite, infinite)
Question 5: Given the equation y = 18, find the range.
The equation y = 18 represents a horizontal line where y is constant at 18 regardless of the value of x.
In this case, y can only take the value of 18; therefore, the range is:
y = 18
So to summarize:
Question 4 answer: (-infinite, infinite)
Question 5 answer: y = 18