F(x)=2x-1 find the range

Step-by-step explanation:

f

(

x

)

=

2

x

−

1

Rewrite the function as an equation.

y

=

2

x

−

1

Use the slope-intercept form to find the slope and y-intercept.

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The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

2

b

=

−

1

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

2

y-intercept:

−

1

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

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Choose

0

to substitute in for

x

to find the ordered pair.

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Replace the variable

x

with

0

in the expression.

f

(

0

)

=

2

(

0

)

−

1

Simplify the result.

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Multiply

2

by

0

.

f

(

0

)

=

0

−

1

Subtract

1

from

0

.

f

(

0

)

=

−

1

The final answer is

−

1

.

−

1

The

y

value at

x

=

0

is

−

1

.

y

=

−

1

Choose

1

to substitute in for

x

to find the ordered pair.

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Replace the variable

x

with

1

in the expression.

f

(

1

)

=

2

(

1

)

−

1

Simplify the result.

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Multiply

2

by

1

.

f

(

1

)

=

2

−

1

Subtract

1

from

2

.

f

(

1

)

=

1

The final answer is

1

.

1

The

y

value at

x

=

1

is

1

.

y

=

1

Create a table of the

x

and

y

values.

x

y

0

−

1

1

1

Graph the line using the slope and the y-intercept, or the points.

Slope:

2

y-intercept:

−

1

x

y

0

−

1

1

1

image of graph will soon be added to the solution