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Find the range of the following functions. a f(x) = 5x+1, domain (xe R. -5 ≤x≤5) b f(x)=4-2x, domain (x=-1,0, 1, 2, 3,4) c f(x)=x², domain (xe R,0 ≤ x ≤ 10) C d f(x)=250-12.5x, domain (x € R. 0≤x≤ 10}

Find the range of the following functions. a f(x) = 5x+1, domain (xe R. -5 ≤x≤5) b f(x)=4-2x, domain (x=-1,0, 1, 2, 3,4) c f(x)=x², domain (xe R,0 ≤ x ≤ 10) C d f(x)=250-12.5x, domain (x € R. 0≤x≤ 10}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the range of the following functions

### Exercise: Find the Range of the Following Functions **4. Given Functions:** **a.** \( f(x) = 5x + 1 \) - **Domain:** \( x \in \mathbb{R}, -5 \leq x \leq 5 \) **b.** \( f(x) = 4 - 2x \) - **Domain:** \( x = -1, 0, 1, 2, 3, 4 \) **c.** \( f(x) = x^2 \) - **Domain:** \( x \in \mathbb{R}, 0 \leq x \leq 10 \) **d.** \( f(x) = 250 - 12.5x \) - **Domain:** \( x \in \mathbb{R}, 0 \leq x \leq 10 \) ### Explanation For each function, you must determine the range based on the defined domains provided. This entails calculating or deducing the set of possible output values for each function given its domain. Specific steps should include substituting the domain endpoints (or points) into the functions to find the range of values.
Transcribed Image Text:### Exercise: Find the Range of the Following Functions **4. Given Functions:** **a.** \( f(x) = 5x + 1 \) - **Domain:** \( x \in \mathbb{R}, -5 \leq x \leq 5 \) **b.** \( f(x) = 4 - 2x \) - **Domain:** \( x = -1, 0, 1, 2, 3, 4 \) **c.** \( f(x) = x^2 \) - **Domain:** \( x \in \mathbb{R}, 0 \leq x \leq 10 \) **d.** \( f(x) = 250 - 12.5x \) - **Domain:** \( x \in \mathbb{R}, 0 \leq x \leq 10 \) ### Explanation For each function, you must determine the range based on the defined domains provided. This entails calculating or deducing the set of possible output values for each function given its domain. Specific steps should include substituting the domain endpoints (or points) into the functions to find the range of values.
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