All categories

2 years ago

Let f(x) = 3(x - 6)^2 + 1. What is the range of f? Express your answer with interval notation.

Mathematics

2 answers:

Dafna1 [17]2 years ago

5 0

X is an element of [6,+ inf [

Lera25 [3.4K]2 years ago

3 0

F(x) = 3(x-6)²+1
This is an up-opening parabola with vertex (6,1).
Range: [1,+∞)

You might be interested in

What are the sides of angle 2?

dangina [55]

BE and BA............

3 0

3 years ago

HELP IN NEED!

laiz [17]

Answer:

$AB=12\sqrt{3}\ cm$

Step-by-step explanation:

If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

$AO=2BO=2\cdot 12=24\ cm.$

By the Pythagorean theorem,

$AB^2=AO^2-BO^2,\\ \\AB^2=24^2-12^2,\\ \\AB^2=576-144=432,\\ \\AB=12\sqrt{3}\ cm.$

6 0

2 years ago

Can someone help me out on this plz?

serious [3.7K]

Answer:

c.) 36cm

Step-by-step explanation:

:))

6 0

2 years ago

Juan manages an appliance store. In July, sales were $161,800. In August, sales were $117,305. What was the rate of change? That

babunello [35]

I think it is a 27.5% decrease

4 0

2 years ago

Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

$\displaystyle 64$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{x \to 0} f(x) = 4$

Step 2: Solve

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0

2 years ago