When comparing linear, quadratic, cubic, and exponential functions, what key feature do the all four furnction types share? a point)
O The -intercept of al four function types is . The minimum value of all function types is .
The domain of all four function types is al real numbers.
The range of all four function types is all real numbers.

Ask by Bond Ayala. in the United States

Jan 23,2025

Question

When comparing linear, quadratic, cubic, and exponential functions, what key feature do the all four furnction types share? a point)
O The -intercept of al four function types is . The minimum value of all function types is .
The domain of all four function types is al real numbers.
The range of all four function types is all real numbers.

Ask by Bond Ayala. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

To determine the key feature shared by linear, quadratic, cubic, and exponential functions, let's analyze each option provided:

1. **The $$ x $$-intercept of all four function types is $$ (0,0) $$**:
   - This is not true for all function types. For example, the exponential function $$ f(x) = a^x $$ (where $$ a > 0 $$) does not have an $$ x $$-intercept at $$ (0,0) $$ unless $$ a = 1 $$.

2. **The minimum value of all function types is $$ (0,0) $$**:
   - This is also not true. For instance, a linear function can have any slope and intercept, and a quadratic function can open upwards or downwards, leading to different minimum values.

3. **The domain of all four function types is all real numbers**:
   - This is true for linear, quadratic, and cubic functions. However, for exponential functions, the domain is also all real numbers. Therefore, this statement is correct.

4. **The range of all four function types is all real numbers**:
   - This is not true. For example, quadratic functions have a range that is limited to values above or below their vertex, and exponential functions have a range that is limited to positive values.

Based on this analysis, the correct answer is:

**The domain of all four function types is all real numbers.**
All four function types—linear, quadratic, cubic, and exponential—have the same domain: all real numbers.

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