The equation 2x - y = -7 written in slope-intercept form is
1 answer:
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Answer:
The minimum value of the given function is f(0) = 0
Step-by-step explanation:
Explanation:-
Extreme value :- f(a, b) is said to be an extreme value of given function 'f' , if it is a maximum or minimum value.
i) the necessary and sufficient condition for f(x) to have a maximum or minimum at given point.
ii) find first derivative and equating zero
iii) solve and find 'x' values
iv) Find second derivative then find the minimum value at x=a
v) Find second derivative then find the maximum value at x=a
Problem:-
Given function is f(x) = log ( x^2 +1)
<u>step1:</u>- find first derivative and equating zero
……………(1)
the point is x=0
<u>step2:-</u>
Again differentiating with respective to 'x', we get
on simplification , we get
put x= 0 we get > 0
then find the minimum value at x=0
<u>Final answer</u>:-
The minimum value of the given function is f(0) = 0
A. Finding the slope
The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:
slope = 6/ 3 = 2
B. Finding the y – intercept
The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:
y – intercept (b) = 4
C. Finding the function of the graph
The general equation of a line is given as:
y = m x + b
where m is the slope and b is the y intercept therefore:
y = 2 x + 4
D. Finding the x – intercept
The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:
0 = 2 x + 4
x = - 2
E. Graph the function
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