6. Given the functions rule f(x)=x^2-3x+2 what is the output of f(-2)?
A. -8
B.0
C.4
D.12
7. Suppose you earn $12 each time you now the lawn. Which function describes the relationship between your total earnings E and the number of times you now the lawn, m?
6. f(-2) = (-2)^2 - 3(-2) + 2
= ....
7. no choices shown
"now" the lawn ? You typed it twice, so clearly no typo.
To find the output of a function for a particular value, you need to substitute that value for the variable in the function and evaluate the expression. Let's go through each question step by step:
6. Given the function rule f(x) = x^2 - 3x + 2, you are asked to find the output of f(-2). To do this, replace every occurrence of x with -2 in the function:
f(-2) = (-2)^2 - 3(-2) + 2
Now simplify the expression:
f(-2) = 4 + 6 + 2
f(-2) = 12
Therefore, the output of f(-2) is 12.
7. The relationship between your total earnings E and the number of times you mow the lawn, m, can be described using a linear function. Since you earn $12 each time you mow the lawn, the function can be written as:
E = 12m
Here, E represents your total earnings, and m represents the number of times you mow the lawn.
So, the function that describes the relationship between your total earnings E and the number of times you now the lawn, m, is E = 12m.