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sweet [91]
3 years ago
13

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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Use the drawing tool(s) to form the correct answer on the provided number line.
miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: x^2-x-12

This is now a quadratic expression for which we can find its factor form:

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0
3 years ago
What is the product
marysya [2.9K]

Answer:30

Step-by-step explanation:

7 0
3 years ago
I'd love some help on this question. I do not understand how you would go about working this out, so please explain the working
zhannawk [14.2K]
Area = length x width and volume = length x width x height soo you would have to multiple 4 and 25 and that’s 100
7 0
2 years ago
Hello I need help here.
guajiro [1.7K]

The area of a circle with chord length of 3√2cm is 28. 3 cm²

<h3>How to determine the area</h3>

The formula chord length of  a circle is expressed as;

Chord Length = 2 × r × sin(c/2)

Where;

  • r is the radius
  • c is the angle formed by the chord and the circumference of the circle
  • Chord length = 3√2

Let's substitute into the formula

3√2 = 2r sin 90/ 2

3√2 = 2r sin 45

3√2 = 2r × 1/ √2

2r = 3√2 ×√2/ 1

2r = 6

Make 'r' the subject

r = 6/2

r = 3cm

The formula for area of a circle is expressed as;

Area = πr²

Area = 3.142 × (3)²

Area = 3. 142 × 9

Area = 28. 3 cm²

Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²

Learn more about area here:

brainly.com/question/22972014

#SPJ1

5 0
1 year ago
Mathematics algebra essay
Komok [63]

Answer:

The answer is D $3.35

Step-by-step explanation:

2.35 + .25x = 1.75 + .40x \\ 2.35 = 1.75 + .40x - .25x \\ 2.35 = 1.75 + .15x \\ 2.35 - 1.75 = .15x \\ .60 = .15x \\   \frac{.60}{.15}  = x \\ x = 4

2.35 + .25(4) = 2.35 + 1 = 3.35

8 0
3 years ago
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