Question

Find the constants a and b such that the function is continuous on the entire real line

Answer 1

a=-2, b=1.

Explanation:

1) according to the condition it is required to find the equation of line, which passes through points A(-3;7) and B(4;-7);

2) the equation of this line can be made up using the formula:

`(x-X_A)/(X_B-X_A) =(y-Y_A)/(Y_B-Y_A);`

`(x+3)/(4+3) =(y-7)/(-7-7) ; \ < = > \ x+3=(y-7)/(-2).`

3) if to re-write the last equation, then

y=-2x+1;

4) finally, a= -2; b=1.