Which graph represents the function f(x)= 0.2^x + 3

Question

asked Jun 12, 2021 28.3k views

2 Answers

Antiokhos · Answer 1 · 2021-06-16T03:05:12+0000

The third graph or bottom left graph represents
f(x) = 0.2^(x) + 3.

Explanation:

Step 1:

To determine which of the given graphs represents the equation
f(x) = 0.2^(x) + 3 , we substitute some values in the place of x.

When
x=0,
f(x) = 0.2^(x) + 3, f(0) = 0.2^(0) + 3= 4.

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents
f(x) = 0.2^(x) + 3.

When
x=1,
f(x) = 0.2^(x) + 3, f(1) = 0.2^(1) + 3= 4.2.

The value of f(x) when
x=1 is lesser than the value of f(x) when
x =0.

So the third graph or bottom left graph represents
f(x) = 0.2^(x) + 3.