Hello from MrBillDoesMath!
Answer:
{3, -1, -5}
Discussion:
f(x) = -x + 6
f(3) = -3 + 6 = 3
f(7) = -7 + 6 = -1
f(11) = -11 + 6 = -5
The range of f is the set of computed y values (i.e. 3, -1, -5). This is the second choice from the top of the list
Thank you,
MrB
<h3>
Answer: C. g(x) = x^4 - x^2 + 0.5</h3>
Why is this?
We start with x^4 - x^2, which is the original f(x) function. Adding some number to this result will increase the y coordinate of any point on the f(x) function. This is because y = f(x). The only thing that matches is choice C, where we shift the graph up 0.5 units. We say that g(x) = f(x) + 0.5
Choice D goes in the opposite direction, and shifts the graph down 0.5 units.
Choices A and B shift the graph horizontally to the right 0.5 units and to the left 0.5 units respectively.
Answer:
1/3
Step-by-step explanation:
4/15 + 1/15 = 5/15
simplified its 1/3
The slope form: y = mx + b
We have:
3x - 6y - 2 = 0 |add 6y to both sides
3x - 2 = 6y |divide both sides by 6
3x/6 - 2/6 = 6y/6
x/2 - 1/3 = y
y = 1/2 x - 1/3
Answer:
C because that's the only one that works
