Math 101 Final Review 102 Correct
Complete Solutions.
Math 101 Final Review 102 Correct
Complete Solutions.
Definition of a function - ANSWER each input has exactly one output
How to tell if a relation is a function - ANSWER -Passes VLT
-x values do not repeat in ordered pairs
domain - ANSWER x values. Written in interval notation
range - ANSWER y values, written in interval notation
Definition of y-intercept - ANSWER where a graph crosses the y-axis. Where x = 0. (0, y)
How to find the y-intercept - ANSWER Let x = 0 and solve for y. (0, y)
Definition of x-intercept - ANSWER where the graph crosses the x-axis. Where y = 0. (x, 0)
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
, Math 101 Final Review 102 Correct
Complete Solutions.
f(x)=x^2, Quadratic Function (shape & parent points) - ANSWER Parabola, Parent points: (-2, 4)(-1,
1)(0,0)(1, 1)(2, 4)
f(x)= x^3 (cube function) (shape & parent points) - ANSWER Parent points: (-8, -3)(-1, 1)(0,0)(1, 1)(8, 3)
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)
exponential function (equation, shape, and parent points) - ANSWER f(x) = b^x, where b>0, and b ≠ 1,
has HORIZONTAL asymptotes, Parent points: (0, 1),(1, b)(-1, 1/b)
logarithmic function (equation, shape, and parent points) - ANSWER f(x)=logbX, where b≠1 and b>0,
which is the inverse of the exponential function f(x)=b^X. Has VERTICAL asymptotes, Parent points: (1,
0),(b, 1)(1/b, -1)
(f+g)(x)= - ANSWER f(x)+g(x)
(f-g)(x)= - ANSWER f(x)-g(x)
(fg)(x)= - ANSWER f(x) times g(x)
(f/g)(x)= - ANSWER f(x)/g(x)
(f o g)(x)= - ANSWER f(g(x))
In, y=af(b(x-h))+ k, what does A do to the graph? - ANSWER vertical stretch or compression. To apply this
to your graph, multiply your Y values by A.
Complete Solutions.
Math 101 Final Review 102 Correct
Complete Solutions.
Definition of a function - ANSWER each input has exactly one output
How to tell if a relation is a function - ANSWER -Passes VLT
-x values do not repeat in ordered pairs
domain - ANSWER x values. Written in interval notation
range - ANSWER y values, written in interval notation
Definition of y-intercept - ANSWER where a graph crosses the y-axis. Where x = 0. (0, y)
How to find the y-intercept - ANSWER Let x = 0 and solve for y. (0, y)
Definition of x-intercept - ANSWER where the graph crosses the x-axis. Where y = 0. (x, 0)
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
, Math 101 Final Review 102 Correct
Complete Solutions.
f(x)=x^2, Quadratic Function (shape & parent points) - ANSWER Parabola, Parent points: (-2, 4)(-1,
1)(0,0)(1, 1)(2, 4)
f(x)= x^3 (cube function) (shape & parent points) - ANSWER Parent points: (-8, -3)(-1, 1)(0,0)(1, 1)(8, 3)
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)
exponential function (equation, shape, and parent points) - ANSWER f(x) = b^x, where b>0, and b ≠ 1,
has HORIZONTAL asymptotes, Parent points: (0, 1),(1, b)(-1, 1/b)
logarithmic function (equation, shape, and parent points) - ANSWER f(x)=logbX, where b≠1 and b>0,
which is the inverse of the exponential function f(x)=b^X. Has VERTICAL asymptotes, Parent points: (1,
0),(b, 1)(1/b, -1)
(f+g)(x)= - ANSWER f(x)+g(x)
(f-g)(x)= - ANSWER f(x)-g(x)
(fg)(x)= - ANSWER f(x) times g(x)
(f/g)(x)= - ANSWER f(x)/g(x)
(f o g)(x)= - ANSWER f(g(x))
In, y=af(b(x-h))+ k, what does A do to the graph? - ANSWER vertical stretch or compression. To apply this
to your graph, multiply your Y values by A.
