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How do you find the x and y intercepts of #g(x)=0.5x-3#?

Answer 1

To find the #x#- intercept, we set #y=0# and solve for #x#: #0=.5x-3# #3=.5x# #6=x#

So. the #x#-intercept is #(6, 0)#

To find the #y#-intercept, it's a similar system We set #x=0# and solve for #y# this time. #y=.5*0-3# #y=-3# That was easy :)

So, our #y#-intercept is #(0, -3)#

Just to double check our work, let's graph the equation and see the #x# and #y# intercepts

graph{y=.5x-3}

Yep, #(6, 0)# and #(0, -3)#. We were right!

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Answer 2

Savannah Anderson

To find the x-intercept, set ( g(x) = 0 ) and solve for ( x ). To find the y-intercept, evaluate ( g(x) ) at ( x = 0 ).

For the x-intercept, ( 0.5x - 3 = 0 ), so ( x = 6 ).

For the y-intercept, ( g(0) = 0.5(0) - 3 = -3 ).

Therefore, the x-intercept is at (6, 0) and the y-intercept is at (0, -3).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.