Answer:
You didn't say which two answers to choose from but they could possibly be 5^-4, (1/5)^4
Step-by-step explanation:
Answer:
y = 2 x - 1
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
When x = 1 , y= 1
x = 2 , y=3
Answer:
A) see attached for a graph. Range: (-∞, 7]
B) asymptotes: x = 1, y = -2, y = -1
C) (x → -∞, y → -2), (x → ∞, y → -1)
Step-by-step explanation:
<h3>Part A</h3>
A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

This has a vertical asymptote at x=1, and a hole at x=2.
The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.
The graph is attached.
The range of the function is (-∞, 7].
__
<h3>Part B</h3>
As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.
The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.
__
<h3>Part C</h3>
The end behavior is defined by the horizontal asymptotes:
for x → -∞, y → -2
for x → ∞, y → -1
Answer:
B. y= (4)/(5)x + 2
Step-by-step explanation:
Use the slope-intercept form
y
=
m
x
+
b to find the slope m and y-intercept b
.
Slope:
5
3
y-intercept: (
0
,
−
2
)
Answer:
1/3
Step-by-step explanation:
1/4×3/2×8/9
Rewriting
8/4 * 3/9 *1/2
Simplify
2 * 1/3 * 1/2
Rewriting
2/2 * 1/3
1 * 1/3
1/3