Mathematics, 16.05.2021 05:10 Emptypockets451

On a coordinate plane, a curve approaches x = negative 3, has inflection point (0, 1), and approaches x = 3 in quadrant 1 and 4. A curve approaches x = 3 in quadrant 1, and another curve approaches x = negative 3 in quadrant 3. Use the graph of f(x) to describe the limits of the function.

Limit of f (x) as x approaches 3 minus=
and Limit of f (x) as x approaches 3 plus=

Limit of f (x) as x approaches negative 3 minus=
and Limit of f (x) as x approaches negative 3 plus=

PLEASE HELP!!! On a coordinate plane, a curve approaches x = negative 3, has inflection point (0, 1

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Answer from: dontcareanyonemo

$\displaystyle \lim_{x \to 3^-} f(x) = - \infty$

$\displaystyle \lim_{x \to 3^+} f(x) = \infty$

$\displaystyle \lim_{x \to -3^-} f(x) = - \infty$

$\displaystyle \lim_{x \to -3^+} f(x) = \infty$

General Formulas and Concepts:

Algebra I

Functions

Algebra II

Analyzing Cartesian Planes and Graphs

Calculus

Limits

Left Limit: $\displaystyle \lim_{x \to a^-} f(x)$ Right Limit: $\displaystyle \lim_{x \to a^+} f(x)$

Graphical Limits

Step-by-step explanation:

We approach this question by analyzing the graph. We notice we have asymptotes at x = -3 and x = 3.

Question 1

$\displaystyle \lim_{x \to 3^-} f(x) = \ ?$

Essentially, the question is asking what the value is for f(x) when x approaches 3 from the left. We see from the graph f(x) that if we approach 3 from the left, we would be going towards the x = 3 asymptote, specifically -∞.

∴ $\displaystyle \lim_{x \to 3^-} f(x) = - \infty$

Question 2

$\displaystyle \lim_{x \to 3^+} f(x) = \ ?$

Essentially, the question is asking what the value is for f(x) when x approaches 3 from the right. We see from the graph f(x) that if we approach 3 from the right, we would be going towards the x = 3 asymptote, specifically ∞.

∴ $\displaystyle \lim_{x \to 3^+} f(x) = \infty$

Question 3

$\displaystyle \lim_{x \to -3^-} f(x) = \ ?$

Essentially, the question is asking what the value is for f(x) when x approaches -3 from the left. We see from the graph f(x) that if we approach -3 from the left, we would be going towards the x = -3 asymptote, specifically -∞.

∴ $\displaystyle \lim_{x \to -3^-} f(x) = - \infty$

Question 4

$\displaystyle \lim_{x \to -3^+} f(x) = \ ?$

Essentially, the question is asking what the value is for f(x) when x approaches -3 from the right. We see from the graph f(x) that if we approach -3 from the right, we would be going towards the x = -3 asymptote, specifically ∞.

∴ $\displaystyle \lim_{x \to -3^+} f(x) = \infty$

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

Unit: Limits

Book: College Calculus 10e

Answer from: Quest

d is correct

step-by-step explanation:

Evaluate the determinant for the following matrix: a. 8 b. 5 c. –4 d. –2

Answer from: Quest

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

$4x^2-0x-9$

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

$4x^2-0x-9$

$=4x^2-6x+6x-9\\\\=2x(2x-3)+3(2x-3)\\\\=(2x+3)(2x-3)\\\\=(2x-3)(2x+3)$

therefore, the correct factorization of $4x^2-0x-9$ is (2x-3)(2x+3).

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On a coordinate plane, a curve approaches x = negative 3, has inflection point (0, 1), and approache...

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