the graph of every exponential function f(x) = a^x, a>0, a cannot = 1, passes through which 3 points?
(1/a, -1) , (1,0) , and (a,1)
(-1, 1/a) , (0,1) , and (1,a)
(0,0) , (1,1) , and (a,a)
+118723 Thanks answering guest that is a good suggestion.
I just want to look at it with substitution.
the graph of every exponential function f(x) = a^x, a>0, a cannot = 1, passes through which 3 points?
f(1)=a^1 = a so (1,a) is on the graph.
a cannot be 0 so (1,0) is not so that means the last 3 three are not right.
That just leaves the middle three.
(1/a, -1) , (1,0) , and (a,1)
(-1, 1/a) , (0,1) , and (1,a)
(0,0) , (1,1) , and (a,a)
That just leaves the middle three.
(-1, 1/a) , (0,1) , and (1,a)
f(1)=a check
f(0)=a^0=1 check
f(-1)=a^(-1)=1/a check :)))
Why don't you try and use this graphing calculator, so that you can learn and see it with your own eyes: https://www.desmos.com/calculator
Learn how to use it, because it is one of the better graphing calculators on the net.
+118723 Thanks answering guest that is a good suggestion.
I just want to look at it with substitution.
the graph of every exponential function f(x) = a^x, a>0, a cannot = 1, passes through which 3 points?
f(1)=a^1 = a so (1,a) is on the graph.
a cannot be 0 so (1,0) is not so that means the last 3 three are not right.
That just leaves the middle three.
(1/a, -1) , (1,0) , and (a,1)
(-1, 1/a) , (0,1) , and (1,a)
(0,0) , (1,1) , and (a,a)
That just leaves the middle three.
(-1, 1/a) , (0,1) , and (1,a)
f(1)=a check
f(0)=a^0=1 check
f(-1)=a^(-1)=1/a check :)))
