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3 years ago

Given the graph below, which of the following statements is true?

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

Option d is right

Step-by-step explanation:

A function is called one to one if two x will not have same y value.

In other words, in the domain each x is matched with a unique y and if x1 not equals x2 we have the corresponding y1 will not be equal to y2.

In the graph given, we find that the y value say 1 has preimages in both to the right of y axis and to the left of y axis.

Hence this is not one to one.

This is a function because each x has a unique image. If we draw a vertical line in any part of the graph we find that it cuts only one time the graph of f(x)

Hence f is a function but not one to one. A one to one function need not pass through the origin.

Hence we find that of the options given, a,b and c are wrong.

But option d is right.

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I'd appreciate it if anyone could help ASAP! :) I'll give Brainliest!

sergiy2304 [10]

We have been given a graph of function g(x) which is a transformation of the function $f(x)=3^x$

Now we have to find the equation of g(x)

Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.

First you should check the graph of $f(x)=3^x$

You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.

Now the given graph has asymptote at x=-2

which is just 2 unit down from the original asymptote x=0

so that means we need shift f(x), 2 unit down hence we get:

$y=3^x$

but that will disturb the y-intercept (0,1)

if we multiply $3^x$ by 3 again then the y-intercept will remain (0,1)

Hence final equation for g(x) will be:

$g(x)=3(3^x)-2$

5 0

3 years ago

Lcm of 15 , 5 , and 9 ?

mihalych1998 [28]

The answer is 45
Because 15x3=45,5x9 and 9x5=45 and 45 is the LCM

6 0

4 years ago

g100num [7]

Answer:

-64

Step-by-step explanation:

y = -3 (23) + 5

y = -69 + 5

y = -64

6 0

3 years ago

Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cy

horrorfan [7]

Answer:

r = 7.33 units

Step-by-step explanation:

Given that,

A cylinder has a radius of r units, and that the height of the cylinder is also r units.

The lateral area of the cylinder is 338 square units.

We need to find the value of r.

The formula for the lateral area of the cylinder is given by :

$A=2\pi rh$

Put all the values,

$2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit$

So, the value of r is equal to 7.33 units.

6 0

3 years ago

A retailer buys a coat in bulk at a unit price of $45. The coat is marked up to 28% to sell in the store. What is the price of t

Lostsunrise [7]

Answer:

57.60

Step-by-step explanation:

If the coat is marked up 28%, then the cost is increased by 28% to produce the selling price.

SP = 45 + 28/100 * 45

SP = Selling Price

SP = 45 + 28*45 / 100

SP = 45 + 1260 / 100

SP = 45 + 12.60

SP = 57.60

Answer: The selling price is 57.60

8 0

3 years ago