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?)

Information: Mr. One's Algebra 2 -- Function Building (secondary gen-ed, Arizona Mathematics Standards Algebra 2 A2.F-BF.B.3)