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}.

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

Step-by-step explanation:

we have

This is the equation of a vertical parabola open downward

The vertex is a maximum

Find the vertex of the quadratic equation

-----> 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

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

but which class are u may know that first