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3 years ago

How would I find the domain and range of this graph?

Mathematics

1 answer:

matrenka [14]3 years ago

6 0

Answer:

Domain: [-3, 5]

Range: [-5, 4]

Step-by-step explanation:

The first thing is to define what is the domain and the range. The domain of a function f (x) is the set of all the values for which the function is defined, and the range of the function is the set of all the values that f takes.

In other words, the domain is the value on the "x" axis and the range is the value on the "y" axis.

In this case, both are an interval, the domain would be from -3 to 5 and in the case of the range it would be from -5 to 4.

Domain: [-3, 5]

Range: [-5, 4]

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3 years ago

PLSSSS HELPPP>> Show work solve the sysytem- y=1/2x^2+4x+4 y=-4x+12 1/2

vekshin1

Answer:

The solution is (-17,80.5) and (1,8.5)

Step-by-step explanation:

Equation 1 : $y=\frac{1}{2}x^2+4x+4$

Equation 2: $y = -4x+12.5$

Substitute the value of y from equation 2 in equation 1

Equation 1 : $y=\frac{1}{2}x^2+4x+4$

After substitution :

$-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2$

Substitute the value of x = -17

y = -4x+12.5

y = -4(-17)+12.5

y=80.5

Substitute the value of x = 1

y = -4(1)+12.5

y=8.5

Hence the solution is (-17,80.5) and (1,8.5)

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4 years ago