2. Which of the following is true of functions and their inverses?A. The inverse of a quadratic function is not a function.
B. The inverse of a linear function is always a function.
C. The inverse of a quadratic function is always a function.
D. The inverse of a linear function is not a function.

Answers

Answer 1

Answer: Answer – A. (The inverse of a quadratic function is not a function)
Since a parabola (quadratic function) does not pass the horizontal line test, it is not possible for a quadratic equation to will have an inverse that is also a function.

Option B is wrong because the inverse of a linear function is not always a function because when the linear function has slope, the inverse cannot be a function.
Option C is wrong because the inverse of a quadratic function is never a function because a quadratic function does not pass the horizontal line test
Option D is wrong because the inverse of a linear function is a function, provided that the linear function has no slope.

Answer 2

Answer:

The correct answer is:

A) The inverse of a quadratic function is not a function.

Explanation:

The inverse of a function is a function if and only if each element of the range (y-coordinates) is mapped to one element of the domain (x-coordinates).

Each y must be mapped to one x; this means no y can be repeated. This means if we draw a horizontal line through any part of the graph of an inverse function, it should not hit more than 1 point.

The graph of a quadratic function is a parabola, or a u-shaped graph. If we draw a horizontal line through a parabola, it will hit twice everywhere except the vertex. This means the inverse of a quadratic function is not itself a function.

Related Questions

Round it to nearest tenth 0.73913
Please help for brainliest, ONLY PART C!!!!(PLS note that brainliest can only be given when there are 2 answers, if ur the only person that responded i cannot give u brainliest, this i s bc u can only b the brainliest answer out of 2, but you cant be the brainliest answer out of only u, if that makes sense]
Use the solutions below to write the quadratic expression in standard form. x = 3/4 and x = -5/6
For a wall of a given material and of a fixed surface area, the rate of heat loss by conduction through the wall is inversely proportional to the thickness (T) of the wall, and directly proportional to the temperature difference (d) across the wall. The rate of heat loss could be given by which of the following expressions?A. 2d/T B. 2 T/d C. 2d + ½ T D. 2(d + ½ T) E. T/d
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

Use your knowledge of similar triangles to solve for x

Answers

9514 1404 393

Answer:

x = 10 2/3

Step-by-step explanation:

The ratios of corresponding sides are the same, so we have ...

x/8 = 8/6

x = 8·(8/6) = 64/6

x = 10 2/3

If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?A. P
B. Q
C. R
D. S
E. T

Answers

P,Q,R can't be 0, because their product is nonzero. Either of S and T could be 0, but the third one only works if S is 0.

To the nearest tenth, what is the length of the hypotenuse of a right triangle if one side measures 4.5 meters and the other side measures 9 meters?1) 10.1 meters
2) 20.3 meters
3) 101.3 meters
4) 202.6 meters

Answers

C squared= a squared + b squared
C squared = 4.5 squared + 9 squared
C squared = 20.25 + 81
C squared = 101.25
Square root 101.25 you get 10.06 round up and you get the answer to be number 1

the answer is 1) 10.1 meters

According to the pythagora theorum,

h² = a² + b²

h² = 4.5² + 9²

= 20.25 + 81

thus, h² = 101.25

thus, h = √101.25

thus, h = 10.06230589 units, or 10.1 rounded to the nearest tenth

Help on similar triangles #14

Answers

To find the volume of a cube, the equation is V=s^3, where s is the side length of the figure.

The lengths of the cubes in this problem are 8 and 6

8^3=512
6^3=216

512:216 is the ratio of the larger cube to the smaller cube
Simplify the ratio

512:216=128:54=64:27

64:27

Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points beforethe finish line and positive numbers to represent points after the finish line.On Jonas's map, there is a bridge at -91= meters, and his wife is watching him at 14 meters.What does 0 meters represent?Choose 1 answer:Jonas's wifeB. The bridgeThe finish line

Answers

Answer:

(C)The finish line

Step-by-step explanation:

Points before the finish line are represented using negative numbers.

Points after the finish line are represented using positive numbers.

The bridge is at -91 meters ( before the finish line)
His wife is watching him at 14 meters. (after the finish line)

0 meters therefore represents the finish line from which Jonas takes his reading to be positive or negative.

The correct option is C.

Final answer:

The 0 meters in Jonas's map represents the finish line in the race, where negative numbers represent points before the finish line and positive numbers represent points after the finish line.

Explanation:

In Jonas's case, he has defined the finish line as 0 meters. This is based on his system of defining the race route, where negative numbers represent points before the finish line and positive numbers represent points after the finish line. So, his wife watching him at 14 meters would be positioned 14 meters past the finish line, and the bridge at -91 meters would be 91 meters before the finish line. This is a useful way of tracking his position during the race and helps to structure his training and race strategy.