Hi there! The domain of a function refers to the values that can be validly input for x. In laymen's terms, domain is the x-values that exist on a graph of the equation.
If we were to plug in y=-2x+5 into a calculator that shows an infinite graph, we would see that the line of the equation would extend both ways infinitely! This means that all real numbers can be inputs for x, because for every x value that exists there is a corresponding y value.
This means that D. All real numbers, is your answer.
Hope it helps! :)
Answer:
Okay, here's the method I'm going to use.
If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.
19 miles
l_______________
6 milesl
l
You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.
a^2 + b^2 = c^2
6^2 + 19^2 = c^2
36 + 361 = c
397 = c
= 19.924859
Rounded to the nearest tenth, your answer is
19.9 miles
57600
you multiply all three numbers togeather<span />
This set notation really seems the hard way to exclude a single value. Anyway...
The domain doesn't include where the denominator is zero, 4x + 7 = 0,
x = -7/4
The range doesn't include the asymptotic value, which is
y=2x/4x = 1/2
So we need domain x ≠ -7/4 and range y ≠ 1/2
Answer: First choice
