adamminecrafter adamminecrafter
  • 13-01-2019
  • Mathematics
contestada

For a quadratic function ƒ(x)=ax2+bx+c, ƒ(−1)<1, ƒ(1)>−1, and ƒ(3)<−4. What could be the sign of a?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-01-2019

Answer:

"a" must be negative

Step-by-step explanation:

The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.

The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.

Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of a must satisfy a < 0.

Answer Link

Otras preguntas

How do you analyze characterization in literature?
Katherine receives an email with a coupon code for $5 off of a pair of jeans from her favorite store. Write a function c(x) to represent the price of the jeans
Divide (36z^2y^6-12z^6y^6) divided by (4z^5y^2)
20 POINTS TO WHOEVER CAN ANSWER THIS!!!!! please answer with the given image.
the process of making a copy of dna that is small enough to leave the nucleus
{y = -4x - 6 {-4x - y - 6 = 0
can you think of a time when you used your intuition to analyze an outcome only to be surprised later to find that your explanation was completely incorrect? di
Why did people accept the draft during World War I?
Who is math genis?? LOL
What does Mr. Hyde represent?