The function rule is -1/5
What are your choices? It's going to be something with a negative x value.
If you want it to be a slope intercept form, the first you have to find slope.
y2-y1/x2-x1
2-0/6-0
2/6 = 1/3
Then you need to find the y intercept. Plug in the x and y value in y=mx+b.
2=1/3(6)+b
2=2+b
0=b
ANSWER: y=1/3x+0
Hope this helps and is correct :)
Step-by-step explanation:
Close. You correctly set up the integrals. When integrating e²ˣ:
∫ e²ˣ dx
½ ∫ 2 e²ˣ dx
½ e²ˣ + C
So the coefficient should be ½, not 2.
[eˣ − ½ e²ˣ]₋₁⁰ + [½ e²ˣ − eˣ]₀¹
[(e⁰ − ½ e⁰) − (e⁻¹ − ½ e⁻²)] + [(½ e² − e) − (½ e⁰ − e⁰)]
1 − ½ − e⁻¹ + ½ e⁻² + ½ e² − e − ½ + 1
-e⁻¹ + ½ e⁻² + ½ e² − e + 1
