The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The

Question

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The range is {y|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

in progress 0
Adalyn 2 weeks 2021-10-10T19:56:29+00:00 2 Answers 0

Answers ( )

    0
    2021-10-10T19:57:47+00:00

    Answer:

    The domain is all real numbers. The range is {y|y ≤ 16}

    Step-by-step explanation:

    we have

    f(x)=-x^{2}-2x+15

    This is the equation of a vertical parabola open downward

    The vertex is a maximum

    Find the vertex of the quadratic equation

    f(x)-15=-x^{2}-2x

    f(x)-15=-(x^{2}+2x)

    f(x)-15-1=-(x^{2}+2x+1)  

    f(x)-15-1=-(x^{2}+2x+1)

    f(x)-16=-(x^{2}+2x+1)

    f(x)-16=-(x+1)^{2}

    f(x)=-(x+1)^{2}+16 —–> equation in vertex form

    The vertex is the point (-1,16)

    therefore

    The domain is the interval —-> (-∞,∞)  All real numbers

    The range is the interval —-> (-∞,16]  All real numbers less than or equal to 16

    0
    2021-10-10T19:58:01+00:00

    Answer:

    The Answer Is B

    Step-by-step explanation:

    domain is all real numbers. The range is {y|y ≤ 16}.

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )