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SashulF [63]
3 years ago
14

How many x or y intercepts can a quadratic function have?

Mathematics
1 answer:
gladu [14]3 years ago
4 0

Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

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The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the
andreyandreev [35.5K]

Answer:

x-intercept is (2,0)  [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

y-intercept is (0, -6)  [The y-intercept represents the temperature at sunrise, -6°C]

Step-by-step explanation:

<u>Complete Question:</u>

<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>

<em />

  • The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
  • The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 6/3

x = 2

x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

The x-intercept means that it takes 2 hours for the temperature to reach 0°C

The y-intercept represents the temperature at sunrise, -6°C

3 0
3 years ago
Need to know the answer for this one , help
k0ka [10]

Answer:

Choice D.

Step-by-step explanation:

The range is the set of all y-coordinates of the points in the graph.

The graph is a wavy function that has a maximum y-coordinate of 1 and a minimum y-coordinate of -1. The y-coordinates can also be all numbers between -1 and 1. Choice A. is only the two numbers -1 and 1. That is not correct since the range comprises the numbers -1, 1, and all numbers in between -1 and 1.

Answer: Choice D.

7 0
3 years ago
Read 2 more answers
How do you rewrite 6^4×6^4 as a single power?
tensa zangetsu [6.8K]

Answer:

6^8

Step-by-step explanation:

6^4 * 6^4

We know that a^b* a^c = a^(b+c)

6^4×6^4  = 6^(4+4) = 6^8

6 0
3 years ago
Read 2 more answers
What are numbers called that are the same distance from 0 but in opposite directions
aliya0001 [1]
Opposites are the same difference from zero!
3 0
3 years ago
How much material is used
Neko [114]
This question is essentially asking you to find the surface area of the box.
The formula for SA on a rectangular prism is: 2(L*W+L*H+W*H)
L=Length W=Width H=Height

Lets input the information we know:
2(20*8+20*30+8*30)
Follow BEDMAS
2(160+600+240)
2(760+240)
2(1000)
2*1000
=2000

The box will need 2000 centimeters squared of material.

Hope this helps!
-Benjamin
5 0
3 years ago
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