Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. g(x)=-2 x²-3(x-2)

Mathematics

1 answer:

valentinak56 [21]1 year ago

8 0

The function g(x) is a quadratic function:

Its quadratic term is -2x²
Its linear term is - 3x
Its constant is 6

<h3>What are functions?</h3>

Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.

This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:

1 : linear

2 : quadratic

The function:

g(x) = -2x² - 3(x- 2).

g(x) = -2x² - 3x + 6 , we have a quadratic function.

Its quadratic term is -2x²
Its linear term is - 3x
Its constant is 6

Learn more about functions at:

brainly.com/question/28586957

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Solve the System by Graphing:

Marat540 [252]

Answer:

B) One solution
The solution is (2, -2)
The graph is below.

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Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

y = 1

The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.