100 POINTS NEEDED RIGHT NOW! On a graph plot the points where the following function crosses the x-axis and y-axis g(x) = -5^x+5

Question

asked Oct 19, 2021 225k views

2 Answers

Imran Sh · Answer 1 · 2021-10-19T16:34:10+0000

Answer:

see below

Explanation:

X-AXIS

when a graph intersects the x-axis, the y value is always 0.

Ex. Points (1,0), (-5,0), (-3,0), (6,0), etc. are all on the x-axis because y = 0.

to find where the graph crosses the x-axis, let y or g(x) = 0

0 = -5^x + 5 subtract 5 from both sides

-5 = -5^x if x is 1, that would produce -5 = -5

(1,0) x axis

Y-AXIS

when a graph intersects the y-axis, the x value is always 0.

Ex. Points (0, 1), (0, -2), (0, 3), etc. all lie on the y-axis because x = 0.

to find where teh graph crosses the y-axis, let x = 0

does the exponent "x" apply to (-5) or just 5?

-5^(x) or (-5)^(x)

(-5)^0 + 5 any number with a 0 power is 1

1 + 5 = 6

(0, 6)

or -5^0 + 5

-1 + 5 = 4

(0, 4)