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kenny6666 [7]
4 years ago
13

According to the graph, what is the value of f (-1). Please respond answer with a numerical value.

Mathematics
1 answer:
Ivahew [28]4 years ago
8 0

Answer: f(-1)=12

Step-by-step explanation:

By definition, a relation is a function if and only if each input value have only one output value.

It is important to remember that the input values are the values of "x" and the output values are the values of "y".

Observe in the graph given in the exercise that the function f(x) is linear.

So, f(-1) indicates that the input value (x-value) is:

x=-1

In order to find its output value you can draw a vertical line from  x=-1 to the line and, when it touches the line, you must draw an horizontal line to the y-axis (Observe the picture attached).

Therefore, you can identify that the output value for  x=-1 is:

y=12

Then:

f(-1)=12

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Which expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 4x 2x – 10 5x 4.
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Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

f(x)=7x-14

Rewrite the equation as,

f(x)=(7x-14)

Take out the negative sign from the bracket,

f(x)=-(-7x+14)

Rewrite the equation with positive terms first.

f(x)=-(14-7x)

Hence the given equation is equivalent to the option 1.

2) The given equation,

f(x)=7x-14

On solving further take out the 7 common from the bracket,

f(x)=7(x-2)

Thus the given equation is equivalent to the option 2.

3) The given equation,

f(x)=7x-14

Split the term of <em>x,</em>

<em />f(x)=4x+3x-14<em />

Rewrite the equation,

f(x)=3x-14+4x

Hence the given equation is equivalent to the option 3.

4) The given equation,

f(x)=7x-14

Split the term of <em>x </em>and constant term,

<em />f(x)=5x+2x-10-4<em />

Rewrite the equation,

f(x)=2x-10+5x-4

Hence the given equation is not equivalent to the option 4.

Thus the expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

Learn more about the linear equation here;

brainly.com/question/11897796

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