Question

Select the graph of the exponential function of
7
x
.

Complete the equation for the graph. Round values to the nearest integer.

A V shape graphed on a coordinate plane with its vertex at the point negative 4 comma zero. The V passes through the points negative 5 comma 3 and negative 3 comma 3.

y =
|x +
| +

Solve the equation (13)x+1=(19)x+3
.
A. x = 5
B. x = –73
C. x = –5
D. The equation has no solution.

Answer 1

1) For the V-shape: vertex at (-4,0) and point (-5,3) gives slope factor 3, so
y = 3|x + 4|.

2) Solve (1/3)^{x+1} = (1/9)^{x+3}. Note 1/9 = (1/3)^2, so
(1/3)^{x+1} = (1/3)^{2(x+3)} ⇒ x+1 = 2(x+3) ⇒ x+1 = 2x+6 ⇒ x = -5.

Answer: y = 3|x + 4|, and x = -5 (choice C).