MAT 150 COMPREHENSIVE EXAM PREP QUESTIONS AND SOLUTIONS VERIFIED STUDY RESOURCE

MAT 150 COMPREHENSIVE EXAM PREP
QUESTIONS AND SOLUTIONS VERIFIED
STUDY RESOURCE

●● midpoint formula
Answer:


●● how to tell if something is not a function
Answer: - vertical line test
- multiple x's for one y-value or multiple y's for one x-value


●● quadratic formula
Answer:


●● standard form
Answer:


●● point-slope form
Answer:


●● domain rules

,Answer: - polynomials - (-infinity, postive infinity)
- square root - under the square root has to be greater than or equal to 0
- numerator/denominator - denominator cannot equal 0
- square root in denominator - under the square root has to be ONLY
greater than 0


●● finding the slope of a line
Answer:


●● parallel and perpendicular slope
Answer: parallel = has same slope, different y
perpendicular = inverse slope


●● slope-intercept form
Answer:


●● rate of change
Answer: f(b)-f(a)/b-a


●● how to solve for even functions
Answer: ~ f(x)= f(-x)
~ symmetric to the y-axis

, ●● how to solve for odd functions
Answer: ~ f(x) = -f(-x)
~ symmetric to the origin (looks the same when reflected across both y-
axis and x-axis)


●● absolute value functions
Answer: |x| = { -x x<0, x>(or equal to) 0
domain = (-infinity, infinity)
range = [0, infinity)


●● (f+g)(x)
Answer: f(x)+g(x)


●● (f-g)(x)
Answer: f(x)-g(x)


●● (fg)(x)
Answer: f(x) * g(x)


●● (f/g)(x)
Answer: f(x)/g(x)