Chapter3: Functions
Section3.2: Domain And Range
Problem 59SE: Create a function in which the domain is x2 .
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![b. For what value of (k) is the function y=f(x) continuous at x-3.
x3-3x2-4x+12
x + 3
X-3
f(x) =
%3D
k
X = 3
Vx+4-V4
c. Find lim,-0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc63dac95-a47c-4af1-81c3-88b4598877ff%2Ffff15f99-8b79-4c46-b57a-52628e974669%2F0qxvvw4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:b. For what value of (k) is the function y=f(x) continuous at x-3.
x3-3x2-4x+12
x + 3
X-3
f(x) =
%3D
k
X = 3
Vx+4-V4
c. Find lim,-0
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