Answer:
Choice B is correct; the domain of function A is the set of real numbers greater than 0
The domain of the function B is the set of real numbers greater than or equal to 1
Step-by-step explanation:
The domain of a function refers to the set of x-values for which the function is real and defined. The graph of function B reveals that the function is defined when x is equal 1 and beyond; that is its domain is the set of real numbers greater than or equal to 1.
On the other hand, the natural logarithm function is defined everywhere on the real line except when x =0; this will imply that its domain is the set of real numbers greater than 0 . In fact, the y-axis or the line x =0 is a vertical asymptote of the natural log function; meaning that its graph approaches this line indefinitely but neither touches nor crosses it.
Answer: 2x + 5y = - 10, Cy + 4 = (x-5)
Dy - 4 = (x+ 5)
Step-by-step explanation:
Equation of the line
5x - 2y = -6
Conditions for perpendicularity
m1 x m2 = -1
To get m1, rearrange the equation
2y = 5x + 6
y = 5x/2 + 3
n1 = 5/2 and m2 = -2/5
To get C
y = mx +c
-4 = -2 x 5/5 + C
-4 = -2 + C
C = -4 + 2
C = -2
To get the equation of the second line
y = -2x/5 - 2
Multiply through by 5
5y = -2x - 10
2x + 5y = 10.
The zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2
<h3>How to determine the zeros of the function?</h3>
The function is given as:
f(x) = x^3 + 3x^2 + 2x
Factor out x in the above function
f(x) = x(x^2 + 3x + 2)
Set the function to 0
x(x^2 + 3x + 2) = 0
Factorize the expression in the bracket
x(x + 1)(x + 2) = 0
Split the expression
x = 0, x + 1 = 0 and x + 2 = 0
Solve for x
x = 0, x = -1 and x = -2
Hence, the zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2
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Answer:
(-∞, ∞)
Step-by-step explanation:
As you can see for each value of x , f(x) is defined
example , for x = -8000 , f(x) is defined to be -7999.
for x = 0 , f(x) is defined to be 1.
for x = 8000 , f(x) is defined to be 8001.
Also,
By its graph , Which is a straight line , So, it is defined everywhere
Thus,
its domain is (-∞, ∞)
Answer:
x-intercept: (1, 0)
Step-by-step explanation:
The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (<em>a</em>, 0). Looking at the two points on the graph, one of them crosses the x-axis at point (1, 0). This represents the x-intercept of the line.
Therefore, the x-intercept of the line is (1, 0).
