Question

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?

Answer 1

f(x)=4x-1
Do you know the y-intercept of f(x)?

Answer 2

-1?

Answer 3

Yep! Great!
Can you figure out the rule for g(x) by looking at the table?

Answer 4

adding 3 each time?

Answer 5

@mathmate ?

Answer 6

But the x-values also jump 3 at time.
Would you make the rule like y=....

Answer 7

y=3?

Answer 8

The rule for g(x) is
g(x)=x+2
Can you check a few points to see that it works?

Answer 9

g(3)= 3+2
g(3)= 5 ?

Answer 10

Yes, that's the idea.
You can also check the values given in the table to make sure they correspond.

Answer 11

so the answer is a?

Answer 12

What do you have for the y-intercept for g(x)?

Answer 13

Y-intercept of g(x) is equal to g(0), just like y-intercept for f(x) is f(0)=-1.
Can you try again please?

Answer 14

g(0) = x +2 ?

Answer 15

for g(0), you would replace all x on the right hand side by 0, so
g(0)=0+2=2

Answer 16

@jenniferjuice
Did you get your answer?

Answer 17

i think its a ?

Answer 18

@mathmate ?

Answer 19

Is -1 greater or smaller than 2?

Answer 20

Remember
f(0)=-1
g(0)=2

Answer 21

smaller sorry its b

Answer 22

There you go! Good job!