Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
Answer:
2 = x- coordinate
3 = y coordinate
Step-by-step explanation:
REMEMBER: In an ordered pair, the x-coordinate always comes first.
Answer:
The last answer choice: Jalon can score 10 times as many points in the next level as in the level he has reached.
Step-by-step explanation:
For every level increase the number of points is multiplied by 10. So after reaching the first level, Jalon will have 10 points. After the second level, 100 points. After the thierd level, 1000 points. After the fourth level, 10000 points, and so on like that.
The answer selected is the correct answer because all of the other ones are equivalent to each other.
