How can you solve problems involving equations that contain addition, subtraction, multiplication, or division?

The solutions to the equation f(x) = 0 of the provided graph of parabola f(x) has two solutions: x=-10,2.

What is graphical interpretations of f(x)?

The graph of a function (say f) is a pictorial representation of all its pairs (inputs, outputs). Let the y-value of a point is the function f(x). Thus,

• At , this point lies above the x-axis.
• At , this point lies on the x-axis.
• At , this point lies below the x-axis.

The graph of f(x) is given to find the solutions to the equation f(x) = 0. For  f(x) =0, the solution point lies on the x-axis.

The intersection point of x-axis in the given graph are at point -10 and at point 2. Thus, the function has two solution,

Hence, the solutions to the equation f(x) = 0 of the provided graph of parabola f(x) has two solutions: x=-10,2.

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Answer:

d. Set A and Set B

Step-by-step explanation:

We have been given three sets:

Set A: (5, 2), (4, 3), (3, 4), (2, 5)

Set B: (-1, -6), (0, 2), (1, 2), (3, 6)

Set C: (2, 1), (4, 2), (2, 3), (8, 4)

Now we need to state about which of the following sets of ordered pairs represent a function.

We know that a function can't have repeated values in domain that is x-value can't repeat.

we see that set C has repeated x-value "2".

Then set C is not a function.

Hence correct choice is:

d. Set A and Set B

Answer:

A and B represent functions.

Step-by-step explanation:

In a function, any input (x-) value may have only one associated y value.  If the same input appears more than once, we know immediately that the data do not represent a function.

A:  The inputs are unique:  {5, 4, 3, 2} so this is a function.

B:   The inputs are unique:  {-1, 0, 1, 3}, so this is a function.

C:   2 is used twice as input, so this is not a function.

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The x-intercepts of the function f(x) = x² + 4x + 3 can be found as shown below.

f(x) = x² + 4x + 3

0 = x² + 4x + 3

0 = (x+3)(x+1)

x = -3, -1

Now, it can be seen that Mathieu has actually set the factored expressions equal to each other, which was wrong.

Hence, the correct option is C.

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Answer:

I can't see Mathieu's work but I will show the right steps and maybe you can find where Mathieu went wrong.

f(x)=x^2+4x+3

f(x)=(x+3)(x+1)       Since 3*1=3 and 3+1=4

The x-intercepts can be found by setting y to 0 and solving for x

(in other words replace that f(x) thing with 0 and solve for x)

0=(x+3)(x+1)

Now set both factors equal to 0

x+3=0       or      x+1=0

x   =-3                    x=-1

The x-intercepts are at (-3,0) and (-1,0)

The requried solution to the equation n + 2 = -14 - n is n = -8.

To solve the equationn + 2 = -14 - n, we can use basic algebraic operations to isolate the variable n on one side of the equation. Here's how:

Start with the given equation: n + 2 = -14 - n

To eliminate the negative sign in front of the second term, we can add n to both sides of the equation:

n + n + 2 = -14 - n + n

Simplifying, we have:

2n + 2 = -14

Next, we want to isolate the variable term, so let's get rid of the constant termon the left side by subtracting 2 from both sides:

2n + 2 - 2 = -14 - 2

Simplifying, we get:

2n = -16

Finally, to solve for n, we divide both sides of the equation by 2:

(2n) / 2 = (-16) / 2

This simplifies to:

n = -8

Therefore, the solution to the equation n + 2 = -14 - n is n = -8.

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