2. Change the following statements into coordinate points and then plot them!
1 answer:
Answer:
The points are (-1, 1), (2, 7), (1, -1), (3, 0)
Step-by-step explanation:
Let us solve the question
∵ f(x) = y
∴ The coordinates of the point are (x, y)
→ Let us use this fact to find the coordinates of each point
∵ f(-1) = 1
∴ x = -1 and y = 1
∴ The coordinates of the point are (-1, 1)
∵ f(2) = 7
∴ x = 2 and y = 7
∴ The coordinates of the point are (2, 7)
∵ f(1) = -1
∴ x = 1 and y = -1
∴ The coordinates of the point are (1, -1)
∵ f(3) = 0
∴ x = 3 and y = 0
∴ The coordinates of the point are (3, 0)
The graph is attached down
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Answer: A
Step-by-step explanation:
C lies below g(x) and f(x), so we need and
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Answer:
a.
b. The x - intercept represents the time at which the battery life drops to 0 %.
c. The y - intercept represents the initial battery life.
Step-by-step explanation:
a. Construct an equation using f(t) and t that represents the relationship between
"f(t)" the battery capacity of a typical smartphone after "t" months and "L" the
number of months the smartphone has been in normal use.
Let the initial battery life be I.
After one month, it decreases by 1%. So, our new value, I' = initial value - decrease = I - 1%I = 99%I.
After two months, it decreases by 1% to our new value I". So, our new value, I" = initial value - decrease = I' - 1%I' = 99%I' = 99%(99%)I = (99%)²I
After three months, it decreases by 1% to our new value I'". So, our new value, I"' = initial value - decrease = I" - 1%I" = 99%I" = 99%(99%)²I = (99%)³I
We see a pattern here.
After t months, f(t)
b. What does the horizontal intercept represent in context? (The x-intercept)
The x - intercept represents the time at which the battery life drops to 0 %.
c. What does the vertical intercept represent in context? (The y-intercept)
The y - intercept represents the initial battery life.