Mathematics, 23.09.2019 16:30 michellectucker1982

The domain of f(x) = 2x 2 + 4x - 1 is . the range of f(x) = 2x 2 + 4x - 1 is

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Answer from: CHRONICxDJ

The domain (-∞,∞) and the range (-∞,∞)

Step-by-step explanation:

Answer from: lildebiecakes

Domain (-∞,∞) Or D={x∈R|-∞<x<∞} Range ={y∈R| y≥-1}

Step-by-step explanation:

1) Domain

As the Domain is the set of all valid quantities of x that satisfies the function, and this polynomial function does not have any restriction or discontinuity the Domain is the whole Real Line.

Or D={x∈R|-∞<x<∞}

2) Range or Image

The Range is the opposite part of the Domain, since we here have the values for y after the values for x were plugged it in.

Algebraically

Since we're dealing with quadratic functions we'll need the parameters and the Vertex to define the Range

Parameters:

a=2

b=4

c=-1

Xv =-b/2a Yv=-Δ/4a

2x²+4x-1

(Xv=1,Yv=-1)

In the Range, we are looking for valid correspondent values for y. And as the parameter of a is 2 and 2 >0 we're looking for the minimum point for y.

And as there is no discontinuity over the graph it's y≥-1

Therefore

R={y∈R| y≥-1} or [-1,∞)

Answer from: Quest

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

)=3(6x−9)−8

7x+(8)(x)+(8)(

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

−37

−3

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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The domain of f(x) = 2x 2 + 4x - 1 is . the range of f(x) = 2x 2 + 4x - 1 is...