Mr. One's Algebra 2 -- Function Building (secondary gen-ed, Arizona Mathematics Standards Algebra 2 A2.F-BF.B.3)
#1) GRAPH THE FUNCTION: f(x) = x (Is the slope positive or negative?)
#2) GRAPH THE FUNCTION: f(x) = -x (Positive or negative slope?)
#3) GRAPH THE FUNCTION: f(x) = x + 3 (What is the Y-intercept?)
#4) GRAPH THE FUNCTION: f(x) = x - 3 (What is the Y-intercept?)
#5) GRAPH THE FUNCTION: f(x) = 5x (What is the slope?)
#6) GRAPH THE FUNCTION: f(x) = -5x (What is the slope?)
#7) GRAPH THE FUNCTION: f(x) = x/5 (What is the slope?)
#8) GRAPH THE FUNCTION: f(x) = -x/5 (What is the slope?)
#9) GRAPH THE FUNCTION: f(x) = (x+2) / 2 (What do you notice about the X-intercept?)
#10) GRAPH THE FUNCTION: f(x) = (x-2) / 2 (What do you notice about the X-intercept?)
#11) GRAPH THE FUNCTION: f(x) = cos x (This is a trigonometric function.)
#12) GRAPH THE FUNCTION: f(x)=2(cos x) (What effect does the factor of 2 (outside the trig function) have on the graph?)
#13) GRAPH THE FUNCTION: f(x) = sin x (Another type of trigonometric function.)
#14) GRAPH THE FUNCTION: f(x) = (sinx) / 2 (What effect does the divisor of 2 have on the graph?)
#15) GRAPH THE FUNCTIONS: f(x) = sin(x+pi/2) and f(x) = cos(x) (What do you notice about the two graphs? Why does that happen?)
#16) GRAPH THE FUNCTION: f(x) = sin(9x) (What effect does the factor of 9 (inside the trig function) have on the graph?)
#17) GRAPH THE FUNCTION: f(x) = sin(x/9) (What effect does the divisor of 9 (inside the trig function) have on the graph?)
#18) GRAPH THE FUNCTION: f(x) = sin(9x) - 2 (What is the Y-intercept?)