Find the range of the graphed function Give BRAINLIEST

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

Answer:

-4 ≤ y ≤ 8

Step-by-step explanation:

The range is the set of y-values for which the function is defined. When we are asked to find the range of a function (given in a graphical form), we look from which y-value (lowest) till which y-value (highest) the function is graphed for (defined for).

First, looking at the y-axis, we see that 5 bars in the coordinates is 10 units, so each bar is :

10/5 = 2 units

Now, looking at the lowest value, we see that it is 2 units from y = 0, so that is at:

y = -2 * 2 = -4

Now, looking at the highest value, we see that it is 4 units from y = 0, so that is at:

y = 4 * 2 = 8

So, the range is from y = -4 to y = 8. This can be written as:

-4 ≤ y ≤ 8

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PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$