Answer:
Step-by-step explanation:
11). f(x) = x → f(x) = x - 1
Translation → Function f(x) has been shifted 1 units down
12). f(x) = 2x → f(x) = 2(x + 2)
Translation → Function f(x) has been shifted horizontally left by 2 units
13). f(x) = 3x + 2 → f(x) = 3x - 2 + 2
Translation → Function f(x) has been shifted by 2 units down.
14). f(x) = 2x - 4 → f(x) = 2(x + 8) - 4
Translation → Function f(x) shifted horizontally left by 8 units
Answer:
90
Step-by-step explanation:
90 degree angle is a perfect square
Answer:
wut :P
Step-by-step explanation:
D.11/24
1/12=2/24
3/8=9/24
2/24+9/24=11/24
Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
