Answer:
g(x) = 
+ 4x + 3; x = -3, -1; g(x) = 3
Step-by-step explanation:
a) The standard form of a quadratic function is:
f(x) = a + bx + c
Now, replace the variables with the values given.
g(x) = + 4x + 3
b) To find the zeros of the function (x-intercepts), set y to 0 and solve for x:
g(x) = + 4x + 3
0 = + 4x + 3
(x + 3)(x + 1) = 0
(x + 3) = 0
x = -3
(x + 1) = 0
x = -1
c) To find the y-intercept of the function, set the x values to 0:
g(x) = + 4x + 3
g(x) = 3
Answer:
Step-by-step explanation:
{(−2,3),(−1,5),(0,7),(3,4)}
Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
X<4 represents "all numbers smaller than 4, including all negative numbers."
In interval notation, this comes out to (-infinity, 4).
The A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We know that the inverse of a function, sometimes known as an anti function, is a function that can be reversed into another.
In other words, if a function "f" converts x to y, the inverse of the same function will convert y to x. The inverse function is denoted by f⁻¹ or F⁻¹ if the function is denoted by 'f' or 'F'.
Thus, the A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.
Learn more about the function here:
brainly.com/question/5245372
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