MAT 101 FINAL EXAM REVIEW QUESTIONS AND
CORRECT ANSWERS
◉ Domain.
Answer: x values. Written in interval notation
◉ Range.
Answer: y values, written in interval notation
◉ How to find the y-intercept.
Answer: Let x = 0 and solve for y. (0, y)
◉ how to find the x intercept(s) of a rational function.
Answer: factor the top, set the numerator = 0 and solve.
◉ increasing interval.
Answer: The interval of X values where the y-values are increasing
over the interval. ALWAYS USE PARENTHESIS
◉ decreasing interval.
Answer: The interval of X values where the y-values are decreasing
over the interval. ALWAYS USE PARENTHESIS
, ◉ f(x)=x^2, Quadratic Function (shape & parent points).
Answer: Parabola, Parent points: (-2, 4)(-1, 1)(0,0)(1, 1)(2, 4)
◉ square root function (equation, shape, and parent points).
Answer: f(x)=√x, Parent points:(0,0)(1, 1)(4, 2)(9, 3)
◉ absolute value function (equation, shape, and parent points).
Answer: f(x)=|x|, Parent points: (-2, 2)(-1,1)(0,0)(1,1)(2,1)
◉ Asymptote for Exponential Functions.
Answer: HORIZONTAL, y=k
◉ Asymptote for Logarithm Functions.
Answer: VERTICAL, x=h
◉ (f o g)(x)=.
Answer: Means f of g of x. Put g into f, f(g(x))
NOT MULTIPLICATION
◉ In, y=af(b(x-h))+ k, what does A do to the graph?.
CORRECT ANSWERS
◉ Domain.
Answer: x values. Written in interval notation
◉ Range.
Answer: y values, written in interval notation
◉ How to find the y-intercept.
Answer: Let x = 0 and solve for y. (0, y)
◉ how to find the x intercept(s) of a rational function.
Answer: factor the top, set the numerator = 0 and solve.
◉ increasing interval.
Answer: The interval of X values where the y-values are increasing
over the interval. ALWAYS USE PARENTHESIS
◉ decreasing interval.
Answer: The interval of X values where the y-values are decreasing
over the interval. ALWAYS USE PARENTHESIS
, ◉ f(x)=x^2, Quadratic Function (shape & parent points).
Answer: Parabola, Parent points: (-2, 4)(-1, 1)(0,0)(1, 1)(2, 4)
◉ square root function (equation, shape, and parent points).
Answer: f(x)=√x, Parent points:(0,0)(1, 1)(4, 2)(9, 3)
◉ absolute value function (equation, shape, and parent points).
Answer: f(x)=|x|, Parent points: (-2, 2)(-1,1)(0,0)(1,1)(2,1)
◉ Asymptote for Exponential Functions.
Answer: HORIZONTAL, y=k
◉ Asymptote for Logarithm Functions.
Answer: VERTICAL, x=h
◉ (f o g)(x)=.
Answer: Means f of g of x. Put g into f, f(g(x))
NOT MULTIPLICATION
◉ In, y=af(b(x-h))+ k, what does A do to the graph?.
