Answer:
As we get closer to x=-3, the limit is approaches -1, on both sides of -3 so this is a good limit so c is 8.
Step-by-step explanation:
In order for a limit to exists, the left side limit must exist and right side limit must exist and on top of that, they must be equal to each other.
In this case, this a piece wise function and by definition of a limit that exist, the limit of this piece wise function as x approaches 3 from either side, must be equal.
We let x=-3 for the top equation.
So we set the second equation equal to -1.
So the value of c is 8. We can prove this by graphing as well.
Answer:
2a could be combined with 5a
Step-by-step explanation:
they both have an (a) after them
Answer:
C
Step-by-step explanation:
In option c, the first block is divided into 3 pieces where 2 parts are shaded whereas the second block is divided into 6 pieces where 3 parts are shaded
For both to be equivalent, both of them should be the same
2/3 = x/6
x = 4
4 pieces should be shaded in in the second block to be equal to the first one, in the diagram only 3 parts are shaded thus the answer is c
Answer:
B
Step-by-step explanation:
-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]
= -5 [ x³*x + x³*4 + 1*x + 1*4 ]
= -5 [ x⁴ + 4x³ + x + 4]
= -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4
= -5x⁴ - 20x³ - 5x - 20
Answer:
f(x) = -2|x| + 1
Step-by-step explanation:
The graph shifts one unit up the y axis since there's a value outside the absolute value which directly adds 1 to it.
