Question

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

Answer 1

Answer:

a=-2, b=1.

Step-by-step 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:

$\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};$

$\frac{x+3}{4+3} =\frac{y-7}{-7-7} ; \ < = > \ x+3=\frac{y-7}{-2}.$

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

y=-2x+1;

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