1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
5

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply. The domain is {x|x ≤ –2}. T

he range is {y|y ≤ 6}. The function is increasing over the interval (–∞ , –2). The function is decreasing over the interval (−4, ∞). The function has a positive y-intercept.
Mathematics
2 answers:
Leto [7]3 years ago
8 0
The graph of the function f(x) =-x^2-4x + 2 is parabola with branches going down in the negative direction of y-axis. 
The vertex of parabola has coordinates:

x_v=\dfrac{-(-4)}{2\cdot(-1)}=-2, \\ y_v=-(-2)^2-4\cdot (-2)+2=-4+8+2=6

Then you can conclude that all x are possible, that means that the dimain is x\in (-\infty,\infty) and the maximum value of y is at the vertex, then the range is (-\infty,6].The function is increasing for x<-2 and decreasing for x>-2 (since vertex is the maximum point).
When x=0, y=2. 
Hence,
<span>The domain is {x|x ≤ –2} - false.
</span>
<span>The range is {y|y ≤ 6} - true.
</span>
<span>The function is increasing over the interval (–∞ , –2) - true.
</span>
<span>The function is decreasing over the interval (−4, ∞) - false.
</span>
<span>The function has a positive y-intercept - true.</span>









Alex_Xolod [135]3 years ago
5 0

Answer:

The range is {y|y ≤ 6}

The function is increasing over the interval (–∞ , –2)

The function has a positive y-intercept

You might be interested in
A fish tank contains 3 of water and is one-fourth full. How many quarts of water does the fish tank hold all together?
DIA [1.3K]

The fish tank holds 48 quarts of water

8 0
3 years ago
F(x)=x2-10x+16 how do I solve that ​
Vsevolod [243]

Step-by-step explanation:

3373eoeenejdidheidndjdjdjjd

7 0
3 years ago
What is 1/4 in the exponent of 3?
zimovet [89]

Answer:

1/4 to the 3rd power is 0.015625

Step-by-step explanation:

Im assuming that is what your asking, you worded it a little differently. When you figure out what the value of something is based on the power it is raised to, you multiply that number by itself the amount of the exponent.

1/4 x 1/4 x 1/4 =  0.015625

5 0
3 years ago
Which is equivalent to 23·2-5?<br> A) 2-15 <br> B) 2-8 <br> Eliminate<br> C) 2-2 <br> D) 22
bulgar [2K]
2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2
4 0
3 years ago
What is the index of ⁴√81<br>​
ludmilkaskok [199]

Answer:

8

HOPING MAKATULONG PO!,KEEP SMILLING GOD LOVES YOU:)!

3 0
3 years ago
Other questions:
  • Alan measures the circular floor of a tepee, then calculates that it has an area of 12.56 square yards. What is the floor's diam
    15·1 answer
  • Is 3x+2y=6 the standard form of y = 3/2 x +3<br> EXPLAIN WHY
    15·2 answers
  • Which description does not guarantee that a trapezoid is isosceles??
    8·1 answer
  • Change the signs as needed and solve. Type your answer in the box. Do not use any spaces.
    7·2 answers
  • Trying to solve what is 3 1/3 x 6
    13·2 answers
  • I'm too lazy to do my math homework
    10·1 answer
  • What is the value of 1 in the number 153732991
    12·2 answers
  • What is the volume of this Sphere?<br><br> 8 pi cm3<br> 16 pi cm3<br> 27 pi cm2<br> 36 pi cm2
    13·1 answer
  • I need the answer to this please help
    15·1 answer
  • En una fabrica de zapatillas 15 obreros confeccionan unaa cierta cantidad de pares en 20 dias si se aumenta un 20% el numero de
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!