1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iVinArrow [24]
2 years ago
10

Which statement is true of the function f(x) = -3^sqrt x ? Select three options.

Mathematics
2 answers:
kati45 [8]2 years ago
8 0

Answer:

b,c,d

Step-by-step explanation:

Just took the test

Alenkasestr [34]2 years ago
7 0

Do you mean f(x)=-3^{\sqrt x}, as in the negative of 3 to the power of √<em>x</em> ? Or f(x)=-\sqrt[3]{x}, as in the negative cube root of <em>x </em>?

If you mean f(x)=-3^{\sqrt x}, then, going through each option:

• no: the square root component is defined only for <em>x</em> ≥ 0, for which we have √<em>x</em> ≥ 0 and hence <em>f(x)</em> < 0 for all <em>x</em> in the domain. √<em>x</em> is an increasing function, so the powers of 3 get successively larger, so <em>f(x)</em> would be always decreasing;

• no: as mentioned above, the domain would be all non-negative numbers;

• no: at minimum, <em>x</em> = 0 which gives <em>f</em> (0) = -3⁰ = -1, and because <em>f(x)</em> is decreasing over its entire domain, the range would be {<em>y</em> | <em>y</em> ≤ -1};

• no: again, a bit of ambiguity, but assuming you mean to say here y=3^{\sqrt x}, yes, <em>f(x)</em> would be a reflection of <em>y</em> across the <em>x</em>-axis;

• and finally, no: f(3)=-3^{\sqrt3}\approx-6.705

so that only the fourth option would be true.

On the other hand, if you mean f(x)=-\sqrt[3]{x}, then:

• no: the function is always decreasing;

• yes: the domain is all real numbers;

• yes: the range is {<em>y</em> | -∞ < <em>y</em> < ∞};

• yes: <em>f(x)</em> is a reflection of <em>y</em>=∛<em>x</em>, also about the <em>x</em>-axis; and

• no: <em>f</em> (3) = -∛3 ≈ -1.442

I suspect you mean the second case, since it's a bit simpler to approach.

You might be interested in
Renting a car costs $35.50 per day, plus 40¢ per mile. If a customer paid $131 for a 2-day rental, how many miles was the car dr
qwelly [4]

Subtract the fee from the total:

131- 35.50 = 95.50

Now divide that by the price per mile:

95.50/ 0.40 = 238.75

They drove 238.74 miles

6 0
2 years ago
Read 2 more answers
PLEASE EASY HELP*****
frez [133]

Answer:

B

Step-by-step explanation:

Multiply through by x+5

2(x + 1) = x + 5 - 1            Combine like terms

2x + 2 = x + 4                 Subtract 2 from both sides.

2x = x + 4 - 2

2x = x + 2                         Subtract x from both sides.

2x - x = 2                          Combine

x = 2

B

6 0
3 years ago
Read 2 more answers
Solve the inequality <br> x-2&gt;15
creativ13 [48]

Answer:

Inequality Form: x > 17

Interval Notation: (17, ∞)

7 0
1 year ago
Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.
Mkey [24]

Answer:

1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}

Step-by-step explanation:

We have to simplify the given exponential exponents.

Exponential Properties:

e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab}\\\\e^{-a} = \frac{1}{e^a}

Simplification takes place in the following manner:

a)

(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}

b)

(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}

c)

(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8

d)

(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}

4 0
3 years ago
What is the area of triangle ABC ? round to the nearest square unit ?
mash [69]

Answer: 33 square units

Step-by-step explanation:

Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.

Heron's formula:-

\text{Area of triangle}=\sqrt{s(s-a)(s-b)(s-c)}, where s is the semiperter and a,b and c are the side-lengths of the triangle.

Let a=16 , b=10 and c=8

Then,

s=\dfrac{a+b+c}{2}=\dfrac{16+10+8}{2}=17

Using Heron's formula:-

\text{Area of triangle}=\sqrt{17(17-16)(17-10)(17-8)}\\\\\Rightarrow\ \text{Area of triangle}=\sqrt{1071}=32.7261363439\approx33\text{ square units}

5 0
3 years ago
Other questions:
  • I need helpp will give brainliesst!!!
    14·1 answer
  • Use polar coordinates to find the limit. [if (r, θ) are polar coordinates of the point (x, y) with r ≥ 0, note that r → 0 as (x,
    11·1 answer
  • What is the value of B for the following triangular prism?
    8·2 answers
  • PLEASE HELP
    9·1 answer
  • 3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard devia
    15·1 answer
  • 7j+3-4j+9What us the answer to this problem
    14·2 answers
  • What is the approximate value of 200,000 x 200
    11·2 answers
  • Find the solutions of the quadratic equation <img src="https://tex.z-dn.net/?f=-x%5E2%2B7x-14%3D0" id="TexFormula1" title="-x^2+
    7·1 answer
  • The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity
    12·2 answers
  • In a group of 200 students, the ratio of students who like Nepali and Social studies is 2:3. If 45 students like both the subjec
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!