Input Goes In, Output Comes Out
f(x)=3x−7
Find f(4)
5
f(x)=x+6
If f(x)=10, find x.
x=4
Rewrite the rule “multiply the input by 2 and add 5” in function notation.
f(x)=2x+5
Find the y-intercept of the function
f(x)=3x+4.
y-intercept: (0,4)
Write the equation in slope-intercept form of a line with slope m=2 and y-intercept (0,4).
y=2x+4
g(x)=2x2+1
Find g(−3)
19
g(x)=3x−5
If g(x)=13, find x.
x=6
Rewrite the equation y=4x−7y using function notation.
f(x)=4x−7
Find the x-intercept of the function
g(x)=2x−6
x-intercept: (3,0)
Write the equation in slope-intercept form of the line that passes through the point (0,−3) and has slope m=−1.
y=−x−3
h(x)=x/4−6
Find h(8)
-4
h(x)=x/2+4
If h(x)=9, find x.
x=10
Rewrite the rule “divide the input by 3, then subtract 2” using function notation.
g(x)=x/3−2
Find both intercepts of
h(x)=−x+5
y-intercept:(0,5)
x-intercept:(5,0)
Write the equation in slope-intercept form of the line that passes through
(0,5) and (2,9).
y=2x+5
p(x)=−5x+12
Find p(0)
12
p(x)=2(x−3)+5
If p(x)=15, find x.
x=8
Rewrite y=2(x−5)+1 using function notation.
h(x)=2(x−5)+1
Find both intercepts of
p(x)=2(x−3)−4
y-intercept:(0,−10)
x-intercept:(5,0)
Write the equation in slope-intercept form of the line that passes through (4,1) and (0,−7).
y=2x−7
k(x)=(x−3)2
Find k(1)
4
k(x)=(x−2)2
If k(x)=16, find all possible values of x.
x=6 or x=-2
Rewrite the statement “the output is the square of the input decreased by 9” using function notation.
k(x)=x2−9
Find the x-intercepts of
k(x)=x2−9
x-intercepts: (−3,0) and (3,0)
Write the equation in slope-intercept form of the line that has x-intercept (6,0) and y-intercept (0,−3).
y=1/2x−3