Question

Which statement is true regarding the graphed functions?

On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 6, 0) and the y-axis at (0, 6). A straight blue line with a negative slope, labeled f of x, crosses the x-axis at (negative 0.75, 0) and the y-axis at (0, negative 2).

f(4) = g(4)
f(4) = g(–2)
f(2) = g(–2)
f(–2) = g(–2)

Answer 1

ok so what is not correct?

Answer 2

Where do the two lines cross?

Answer 3

Im looking for the intersection point?

Answer 4

Yes because the solution to f(x) = g(x) is where the two lines cross.
Specifically all we're taking out of that is the x coordinate of that intersection point.

Answer 5

Ah, thank you!!!

Answer 6

Recall that y = f(x),
Also y = g(x) as well
So if we had f(x) = g(x), then we're basically asking "when are the y values the same for some x value?"

Answer 7

Thank You!!

Answer 8

no problem

Answer 9

So, woulf it be f(4) = g(–2)?

Answer 10

no

Answer 11

f(x) = g(x) must have the same x value
you replace every x with the same number

Answer 12

so not to sound dumb, woud it be D.?

Answer 13

D is correct

The two lines intersect at (-2, 4)
here x = -2 is plugged into f(x) and g(x)
we go from f(x) = g(x) to f(-2) = g(-2)

Answer 14

Thank you!!!

Answer 15

Notice that f(-2) = 4 and g(-2) = 4
since both are 4, we can equate f(x) and g(x) for this x value

Answer 16

sure thing

Answer 17

ohhhhh, that makes sense