Question

WILL MEDAL!!

The functions f(x) and g(x) are described using the following equation and table:

f(x) = -3(1.02)^x


x -1 0 1 2
gx -5 -3 -1 1

Which statement best compares the y-intercepts of f(x) and g(x)?

A. The y-intercept of f(x) is equal to the y-intercept of g(x).
B. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
C. The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
D. The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answer 1

You shouldn't be posting Exam questions here for answers. A.

Answer 2

Wait I think I get it is it because -3 would be the y intercept for the 1st equation and then for the second when its 0 its -3 so -3 would also be the y intercept.. @shiraz14

Answer 3

@pflorido : Yes, you're correct. Good work that you managed to work that out.

Answer 4

Thanks ;)

Answer 5

Can you help me with another? @shiraz14

Answer 6

Which graph best represents the equation y = the square root of the quantity x plus 8

Answer 7

@pflorido : Where do you think the x-intercept of this graph lies?

Answer 8

(-8,0)?

Answer 9

If you substitute these values of x & y into the equation, you'll find if it satisfies the equation.

Answer 10

But everytime I plug in one of the x-values into the options the y values never come out as 0

Answer 11

@shiraz14

Answer 12

@pflorido : I'm assuming that your equation looks like this:
y= √(x+8)
Is this correct?

Answer 13

yes.. wait would it be graph a?

Answer 14

Cuz ik the x-intercept is -8 and I just notice that that is the only graph that starts there

Answer 15

When x = -8, we get y = √(8-8) = √0 = 0. So yes, you're correct - the answer should be A.

Answer 16

Thank you so much! I became your fan just for all the help! :)

Answer 17

You're welcome