Given function is

now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into

so RHD= 
Now set both equal





k=-0.47
<u>Hence final answer is -0.47.</u>
To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4
Now we can say
2x + 7 = x - 4
Now solve for x
X= 3
Now fill this in in either one of the formulas
Y= 2 (3) + 7
Y= 13
So they’ll intersect at (3,13)
Answer:
A
Step-by-step explanation:
To translate a graph right you -3 from x. To translate a graph up you +4.