The constant term in the function is 15.
Function f(x) = x2 + 8x + ___
Let us consider the constant term as b
f(x) = x2 + 8x + b
Where b is the y intercept or the constant term
We know that,
X-intercept is the value of x when the function value is zero
For x = -3 we get f(x) =0
For x = -5 we get f(x) = 0
By substituting one of the intercepts in the given function
f(-3) = (-3)2 + 8(-3) + b
0 = 9 - 24 + b
0 = -15 + b
b = 15
f(x) = x2 + 8x + 15
Therefore, the constant term in the function is 15.
Complete ques:
A function f(x) has x-intercept of -3 and -5. What is the constant term in the function? f(x) = x2 + 8x + ___