use the graph of the function $y = 4^x$ to answer the following questions.

the domain of the function is negative infinity to positive infinity because an exponent can be any real number.

the range of the function is dropdown to dropdown because $4^x$ is always positive.

Question

use the graph of the function $y = 4^x$ to answer the following questions.

the domain of the function is negative infinity to positive infinity because an exponent can be any real number.

the range of the function is dropdown to dropdown because $4^x$ is always positive.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Domain of Exponential Functions", "Range of Exponential Functions" ], "new_concepts": [], "current_concepts": [ "Domain of Exponential Functions", "Range of Exponential Functions", "Exponential Function Graphs" ] } ## Analyze the domain of the function Using the *Domain of Exponential Functions* knowledge point $$ \begin{aligned} &y = 4^x\ &\text{Domain: } (-\infty, \infty) \end{aligned} $$ ## Determine the range of the function Using the *Range of Exponential Functions* knowledge point $$ \begin{aligned} &4^x > 0 \quad \forall x \in \mathbb{R}\ &\text{Range: } (0, \infty) \end{aligned} $$ Use the graph of the function $y = 4^x$ to answer the following questions. The domain of the function is negative infinity to positive infinity because an exponent can be any real number. The range of the function is zero to positive infinity because $4^x$ is always positive. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Range of Exponential Functions" ] }

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Question

Explanation:

Analyze the domain of the function

Determine the range of the function

Answer: