We know that, as per a corollary of intermediate value theorem, if a function f(x) is continuous on a closed interval [a,b], and values of f(a) and f(b) have opposite signs, then the function f(x) is guaranteed to have a zero on the interval (a,b).
So, basically, we need to figure out two values of x, at which the values of the given cubic function have opposite signs.
Let us consider the interval [-2,1].
We have . Upon substituting the values x=-2 and x=1 one by one, we get:
We can see that signs of values of the function at x=-2 and x=1 are opposite, therefore, as per intermediate value theorem, the function is guaranteed to have a zero on the interval [-2,1]
F=94°. Angles in a quadrilateral add up to 360°,so we subtract all given angles from 360 to get 94
Answer:
- 12
Step-by-step explanation:
To evaluate (g ○ h)(1), evaluate h(1) then substitute this result into g(x)
h(1) = 3(1) + 4 = 3 + 4 = 7, then
g(7) = - 2(7) + 2 = - 14 + 2 = - 12
Answer:
B two congruent pieces
Step-by-step explanation:
Perpendicular means at a 90 degree angle
bisector means it divides in it half, into two equal pieces