Math

QuestionGraph the function f(x)=x+5f(x)=x+5.

Studdy Solution

STEP 1

Assumptions1. The function to be graphed is f(x)=x+5f(x) = x +5. . The graph will be a straight line because the function is linear.

STEP 2

To graph a linear function, we need to find two points on the line. One way to do this is to find the y-intercept and the x-intercept.

STEP 3

The y-intercept is the value of f(x)f(x) when x=0x =0. So, we substitute x=0x =0 into the function to find the y-intercept.
f(0)=0+5f(0) =0 +5

STEP 4

Calculate the y-intercept.
f(0)=0+=f(0) =0 + =The y-intercept is.

STEP 5

The x-intercept is the value of xx when f(x)=0f(x) =0. So, we set f(x)=0f(x) =0 and solve for xx to find the x-intercept.
0=x+50 = x +5

STEP 6

olve for xx.
x=5x = -5The x-intercept is -5.

STEP 7

Now that we have the y-intercept (0,5) and the x-intercept (-5,0), we can plot these two points on a graph.

STEP 8

Draw a straight line through the two points. This line represents the function f(x)=x+5f(x) = x +5.

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