2 and 3 are the answers i'm pretty sure.
Answer:
B. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6}
D. f(-1) = 6
Step-by-step explanation:
The question gives a table marking the different coordinate pairs for a function, where f(x) is y. The top row represents the x-values and the bottom row represents the y-values.
Domain
The domain of a function is the set of x-values that the graph covers. In this case, the x-values are all integers between -2 and 6. We can see this in the top row of the table. Answer choice B best represents this domain.
Solving for F(x)
F(x) represents a specific y-value, for example, f(-1) represents the y-value when x = -1. So, to test choice D, we need to find what y-value matches -1 on the table. The table shows that when x = -1, f(x) = 6. This means that answer choice D must be correct.
Answer:
I think it's C and F. Don't depend on me tho I'm only in the 7th grade but I just told what I think is more logical
we are given
piecewise function as
f(x) =5 when x<=-2
f(x)=ax+b when -2<x<3
f(x)=-5 when x>=3
We are given f(x) is continuous for all values of x
so, it will also be continuous at x=-2 and x=3
Continuity at x=-2:
Value of both functions must be same at x=-2
so, we get
Continuity at x=3:
Value of both functions must be same at x=3
so, we get
so, we get system of equation as
now, we can subtract both equations
and we get
now, we can find b
so, we get
..............Answer