Question

F(x) = x³ + 4x² - 8x - 10; a = -6, b = -5. What is the value of f(a) * f(b)?

Answer 1

To calculate f(a) * f(b), substitute the values of a and b into the function f(x) and calculate the result. Then find the product of the two results.

Step-by-step explanation:

The question involves calculating the value of the function f(x) at two specific points, a = -6 and b = -5, and then finding the product of these two values. To find the value of f(a) * f(b), we need to substitute the values of a and b into the function f(x) = x³ + 4x² - 8x - 10 and calculate the result for each. Let's start with f(a):

f(a) = (-6)³ + 4(-6)² - 8(-6) - 10

= -216 + 144 + 48 - 10

= -34

Now, let's calculate f(b):

f(b) = (-5)³ + 4(-5)² - 8(-5) - 10

= -125 + 100 + 40 - 10

= 5

Finally, we can calculate f(a) * f(b):

f(a) * f(b) = (-34) * (5) = -170

Answer 2

The value of f(a) * f(b) for the function f(x) = x³ + 4x² - 8x - 10, with a = -6 and b = -5, is -170.

Step-by-step explanation:

To find the value of f(a) * f(b) given the function f(x) = x³ + 4x² - 8x - 10, we need to substitute the values of a and b into the function and then multiply the results.

First, calculate f(a):
f(-6) = (-6)³ + 4(-6)² - 8(-6) - 10
= -216 + 144 + 48 - 10
= -34

Now, calculate f(b):
f(-5) = (-5)³ + 4(-5)² - 8(-5) - 10
= -125 + 100 + 40 - 10
= 5

Multiplying both results yields:
f(a) * f(b) = f(-6) * f(-5) = (-34) * 5 = -170