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3 years ago

What is the domain and range of the function

Mathematics

1 answer:

Stells [14]3 years ago

7 0

Answer:

Option d is correct.

Domain = all real number

range = positive real numbers

Step-by-step explanation:

Given the function: $y=f(x) = a^x$

Domain of the function is all real numbers except where the expression is undefined.

In this case, there is no real number that makes the expression undefined.

Domain of f(x) = $(-\infty , \infty)$ = {a | a∈R}

Range is the set of all valid f(x) values.

$(0,1) \cup (1, \infty)$

$\{y | y\neq 1 , y>0\}$

Therefore, Domain is all real number and the range of function is positive real number

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Maksim231197 [3]

Answer:

The correct option is 1.

Step-by-step explanation:

The given parent function is

$y=\sqrt{x}$

1. Domain of the function is all positive real number including 0.

2. Range of the function is all positive real number including 0.

3. It is an increasing function. It increases at decreasing rate.

First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

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Second graph is a parabola, so it is the graph of a quadratic function.

Third graph is a rectangular hyperbola, so it is the graph of a rational functions.

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Therefore options 2, 3 and 4 are incorrect.

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3 years ago

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Can someone solve this

zysi [14]

You know how Soh Cah Toa applies to right triangles; you can assign the adjacent side = 4 and hypotenuse = 7

CosФ = (adjacent) / (hypotenuse)

Then with the Pythagorean theorem
4² + b² = 7²
16 + b² = 49
b² = 49 - 16
b² = 33
b = √(33)

So "b" is the opposite side.

SinФ = (opposite) / (hypotenuse) = √(33)/7
TanФ = (opposite) / (adjacent) = √(33)/4

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4 years ago

Writing g for the acceleration due to gravity, the period,T, of a pendulum of length l is given by

ivanzaharov [21]

Step-by-step explanation:

$T=2\pi\sqrt{\frac{l}{g}}$

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