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2 years ago

Which best describes the range of the function #(x) = 2(3)x? O y>0 O y≥0 O y = 2 O y≥2

Mathematics

1 answer:

sdas [7]2 years ago

4 0

Answer:

The range of the function f(x) : is y > 0.

The correct option is (A)

Step-by-step explanation:

The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Given function is :

If we draw the graph for this, then we can see that the horizontal asymptote is 0.

So, the range is real numbers higher than 0.

Hence, the range should be y > 0.

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*BRAINLIEST* The graphs below have the same shape. Complete the equation of the blue graph.

PIT_PIT [208]

Answer:

(x-2)^2

Step-by-step explanation:

The blue graph is shifted two units to the right of the "original" function x^2 (red). Let's recall the vertex form of a quadratic:

a (x-h)^2 + k

where a represents a constant that describes the opening of the parabola (up/down); h represents horizontal shift; and k represents vertical shift.

The blue graph is two units to the right (+2), there is NO vertical shift and NO change in how the parabola opens.

So, let's plug the appropriate values into vertex form:

(x-(+2))^2

= (x-2)^2

5 0

2 years ago

What is the vertical asymptotes of the function f(x)=x-2/x*2-3x-4

frozen [14]

Answer:

Step-by-step explanation:

$f(x)=\dfrac{x-2}{x^2-3x-4}\\\\\text{DOMAIN}:\\\\x^2-3x-4\neq0\\\\x^2-4x+x-4\neq0\\\\x(x-4)+1(x-4)\neq0\\\\(x-4)(x+1)\neq0\iff x-4\neq0\ \wedge\ x+1\neq0\\\\x\neq4\ \wedge\ x\neq-1\\\\\text{Therefore the vertical asymptotes are:}\\\\x=-1\ and\ x=4.$

4 0

2 years ago

One end of a ladder 32 feet long is placed 10 feet from the outer wall of a building that stands on the ground level. How far up

ladessa [460]

Answer:

30 ft

Step-by-step explanation:

This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle. Pythagorean's Theorem will help us find this length.

$32^2-10^2=y^2$ so

1024 - 100 = y^2 and

y = 30.4 so 30 feet

4 0

2 years ago

Mr. Morgan has five daughters. They were all born the number of years apart as the youngest daughter is old. The oldest daughter

Artyom0805 [142]

Their ages are x, 2x, 3x, 4x, 5x.

The oldest is 16 years older than the youngest. There are 5 daughters.

<span>5x-x=16. 4x=16 x=4
</span>
Their ages are 4 , 8 , 12 ,16 , 20

5 0

3 years ago

Read 2 more answers

Evaluate.<br><br> f(x)=17-5x at x=a-3

bulgar [2K]

I hope this helps

x= 17/5

8 0

2 years ago