Function 1 is a linear function given by the verbal description:
A linear function has a rate of change of 5 and an initial value of 2 .
Which function has a greater vertical intercept than Function 1 ?

Ask by Mitchell Cross. in the United States

Jan 25,2025

Question

Function 1 is a linear function given by the verbal description:
A linear function has a rate of change of 5 and an initial value of 2 .
Which function has a greater vertical intercept than Function 1 ?

Ask by Mitchell Cross. in the United States

Jan 25,2025

UpStudy AI · Accepted Answer

Function 1 is a linear function described as:
$$ f_1(x) = 5x + 2 $$
where the **vertical intercept** is 2.

To determine which of the given functions has a **greater vertical intercept** than Function 1, we evaluate the vertical intercept (the constant term) of each option:

1. **$$ f(x) = 0.3x^{2} + 4 $$**
   - **Vertical Intercept:** 4
   - **Comparison:** 4 > 2 ✔️

2. **$$ f(x) = 0.25x + 2 $$**
   - **Vertical Intercept:** 2
   - **Comparison:** 2 = 2 ❌ (Not greater)

3. **$$ f(x) = 3^{x} $$**
   - **Vertical Intercept:** $$ 3^{0} = 1 $$
   - **Comparison:** 1 < 2 ❌

4. **$$ f(x) = 1.5x^{2} + 2x - 3 $$**
   - **Vertical Intercept:** -3
   - **Comparison:** -3 < 2 ❌

**Conclusion:**
Only the first function, $$ f(x) = 0.3x^{2} + 4 $$, has a greater vertical intercept than Function 1.

**Answer:**
$$ f(x) = 0.3 x^{2} + 4 $$ has a greater vertical intercept than Function 1.
$$ f(x) = 0.3x^{2} + 4 $$ has a greater vertical intercept than Function 1.

Function 1 is a linear function given by the verbal description:
A linear function has a rate of change of 5 and an initial value of 2 .
Which function has a greater vertical intercept than Function 1 ?

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Function 1 is a linear function given by the verbal description: A linear function has a rate of change of 5 and an initial value of 2 . Which function has a greater vertical intercept than Function 1 ?

Upstudy AI Solution

Answer

Solution

Extra Insights

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Latest Algebra Questions

Function 1 is a linear function given by the verbal description:
A linear function has a rate of change of 5 and an initial value of 2 .
Which function has a greater vertical intercept than Function 1 ?