Question

Consider the exponential function

f(x) = 12^x. Complete the sentences
about the key features of the graph.

Answer 1

The key features of the exponential function are

• Domain: - ∞ < x < ∞
• Range: y > 0
• Asymptote: y = 0
• y-intercept: 1

Identifying the key features of the exponential function

From the question, we have the following parameters that can be used in our computation:

f(x) = 12ˣ

The rule of an exponential function in its base form is that

It can take any real value as its input and the output value are always greater than 1

So, we have

Domain: - ∞ < x < ∞

Range: y > 0

Asymptote: y = 0

When x is 0, the graph crosses the y-axis at y = 0

So, we have y-intercept: 1