Mathematics, 21.10.2019 18:00 spellsaltoniza

Determine algebraically wheather or not the function f(x)=-x^3 -2x^2 +5 is even or odd and justify your answer

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Answer from: ozieera

The function f(x) is neither even, nor odd function.

Step-by-step explanation:

Definition: A function is called an even function if for all x from its domain

f(-x)=f(x)

Definition: A function is called an odd function if for all x from its domain

f(-x)=-f(x)

You are given the function f(x)=-x^3-2x^2+5.

Substitute into the function expression -x instead of x.

$f(-x)=-(-x)^3-2(-x)^2+5\\ \\f(-x)=-(-x^3)-2x^2+5=x^3-2x^2+5\neq f(x)\\ \\-f(x)=-(-x^3-2x^2+5)=x^3+2x^2-5\\ \\f(-x)\neq -f(x)$

Hence, the function f(x) is neither even, nor odd function.

Answer from: Quest

step-by-step explanation:

when the line is solid:

it's either < or >

when the line is dashed:

it's either < or >

this > inequality sign means:

greater thanmore thanaboveexceeds

this < inequality sign means:

less thanfewer thanbelow

this > inequality sign means:

greater than/equal tono less thanat leastminimum of

this < inequality sign means:

less than/equal tono more thanat mostmaximum of

about the problem:

since the line is solid, that means it's either < or >

srry i'm not done ! i'll

Which inequality is represented by the graph? which test point holds true for the inequality?

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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Determine algebraically wheather or not the function f(x)=-x^3 -2x^2 +5 is even or odd and justify y...

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