All categories

2 years ago

Identify the effect on the graph of replacing f(x) by A f(x)

Mathematics

1 answer:

JulijaS [17]2 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

Required

Effect of replacing $f(x)$ with $f(x - h)$

f(x) is represented as: (x,y)

While

f(x - h) is represented as (x - h, y)

Notice the difference in both is that, the x value in f(x - h) is reduced by a constant h while the y value remain unchanged.

This means that the graph of f(x) will shift horizontally (i.e. along the x-axis) to the left by h units

You might be interested in

Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u

RoseWind [281]

Transformation involves changing the form of a function.

The absolute value function is $f(x)=0.3|x -2|$

The parent function of the absolute value function is:

$f(x)=|x|$

When the function is translated 2 units to the right, the new function is:

$f(x)=|x -2|$

From the function to be wider than the absolute function, the function must be stretched by a factor less than 1.

The possible function from the list of given options is $f(x)=0.3|x -2|$

Read more about function transformation at:

brainly.com/question/1548871

6 0

2 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago

Adam has dimes and quarters in his pocket. there are 28 coins in all, and they are worth $4.60 altogether.how many quarters does

pochemuha

16 dimes = $1.60
12 quarters = $3.00

7 0

2 years ago

An athlete eats 75 g of protein per day while training. How much protein will she eat during 21 days of training? Write your ans

lisov135 [29]

Answer:

1.575 kg

Step-by-step explanation:

75g x 21

1575 g

convert to kg

1.575 kg

Brainliest Appreciated!

7 0

2 years ago

Find the area of the circle. Leave your answer in terms of Pi. Diameter is 14 ft.

QveST [7]

Answer:

The area of the circle is $49\pi\ ft^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=14/2=7\ ft$ -----> the radius is half the diameter

substitute the value

$A=\pi (7)^{2}$

$A=49\pi\ ft^{2}$

7 0

3 years ago

Read 2 more answers