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Identify a, b, and c in the given quadratic function. What does the value of a tell you about the function?
Minimum Value: - 13
Domain: {all real numbers}
Range: {f(x)|f(x)≥ - 13}
Let's begin by rewriting our function in the general expression of a quadratic function, y=ax^2+bx+c. f(x) = 3x^2+8x+5⇔ f(x) = 3x^2 + 8x + 5 We can see that a = 3, b = 8, and c = 5.
In the given function, we have a=3, which is greater than 0. Thus, the parabola will have a minimum value.
x= - 43
Calculate power
a*b/c= a* b/c
Multiply
a/b=.a /3./.b /3.
a(- b)=- a * b
a = 3* a/3
Add and subtract fractions
Unless there is a specific restriction given in the context of the problem, the domain of a quadratic function is all real numbers. In this case, there is no restriction on the value of x. Since the minimum value of the function is - 13, the range is all real numbers greater than or equal to - 13. Domain:& {All real numbers} Range:& {f(x)|f(x)≥ - 13}