Question

question 3
select all the functions that have a domain of all real numbers.

• linear
• exponential
• quadratic

question 4
what is the y-intercept of the function \\(f(x) = 2^x + 1\\)?

• \\((0, -2)\\)
• \\((0, 2)\\)
• \\((-2, 0)\\)
• \\((2, 0)\\)

Explanation:

Analyze domains of the given function families

Using the Domain of Functions, Quadratic Functions, and Exponential Domain knowledge points

$$
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$$

All three function families are defined for all real numbers.

Calculate the y-intercept of the exponential function

To find the \(y\)-intercept of \(f(x) = 2^x + 1\), evaluate the function at \(x = 0\):

$$ f(0) = 2^0 + 1 $$

$$ f(0) = 1 + 1 = 2 $$

The \(y\)-intercept is the coordinate point \((0, 2)\).

Answer:

Question 3

• Linear (Correct answer)
• Exponential (Correct answer)
• Quadratic (Correct answer)

Question 4

• (A) \((0, -2)\)
• (B) \((0, 2)\) (Correct answer)
• (C) \((-2, 0)\)
• (D) \((2, 0)\)