Problem #11: Use the intercepts to graph the equation.
3x - y= 6
Describe each step using words
Solve the equation symbolically
To start, find the x-intercept by setting y to zero.
3x-y=6
3x = 6
Then divide both sides of the equation by 3 to get x by itself and then you have the x-intercept.
3x/3 = 6/3
X = 2 x-intercept = (2,0)
To solve the y-intercept, set x to zero and solve for y.
3x-y=6
-y = 6
Divide both sides of the equation by -1 to get rid of the negative y.
-y/-1 = 6/-1
Y = -6 y-intercept = (0-6)
Answer: The intercepts from the equation are (2,0) and (0,-6), the graphed answer would have a line consisting of those two points.
Problem #19 (a): Evaluate the function f(x) = x^2 – 3x – 2
a.
f (-1) =?
Describe each step using words
Solve the equation symbolically
First, rewrite equation with the given independent variable. f(x) = x^2 – 3x – 2
f(-1) = (-1)^2 – 3(-1) – 2
Distribute all the negatives, simplify the equation.
1 + 3 - 2
2
Final answer of the evaluated function. f (-1) = 2
Answer: Originally I answered f (-1) = 0 because I did not distribute the negatives correctly. After going a step at a time, I now know that f (-1) = 2.
