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Tresset [83]
3 years ago
5

If f(x)=| x-2 |, then find f(-3)

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

The value of f(-3) is 5.

In order to find this answer, we are going to input -3 in for x (this is what the notation f(-3) means).

f(x)=| x-2 |

f(-3)=| -3 -2 |

f(-3)=| -5 |

Now we have to take the absolute value.

f(-3) = 5

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Answer:

(a) The table of the ordered pairs is given as:

x-values          1            2            3            4            5             6

y-values           3            6            9           12           15            18

(b)

We find the equation from the table using the slope intercept form.

Let y=mx+c

on using the first column i.e x=1 and y=3 we have equation as:

3=m+c-------(1)

on using the second column i.e. x=2 and y=6

we have 6=2m+c---------(2)

on subtracting equation (1) from equation (2) we get:

m=3

and finally on putting value of m in equation (1) we get c=0

Hence, the equation of the line is y=3x.

This equation holds for all the points.

(c)

<em>x is the independent variable</em> and <em>y is the dependent variable </em>since it depends on the value of 'x'. it is thrice the value of x at each point.




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