The graphs that best represents the function is:
Graph of f(x) equals 10 multiplied by 1.3 to the power of x.
The function that shows the relationship between f(x) and x: is:
[tex]f(x)=10\times (1.3)^x[/tex]
a)
Graph of f(x) equals 1.3 multiplied by 10 to the power of x.
This means that the expression is given by:
[tex]f(x)=1.3\times (10)^x[/tex]
Hence, option: a is incorrect since it is not equal to the given function f(x).
b)
Graph of exponential function going up from left to right in quadrant 1 through the point (0, 0) and continuing towards infinity.
In the given function f(x) when x=0 we have:
[tex]f(x)=10\times (1.3)^0\\\\\\f(x)=10\neq 0[/tex]
Hence, option: b is incorrect.
c)
Graph of f(x) equals 10 multiplied by 1.3 to the power of x.
This means that the function f(x) is given by:
[tex]f(x)=10\times (1.3)^x[/tex]
which is obviously true.
Hence, option: c is correct.
d)
Graph of (x) equals 1.3 to the power of x.
This means that the function f(x) is given by:
[tex]f(x)=(1.3)^x[/tex]
which does not m,atches the actual expression.
Hence, option: d is incorrect.
