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Math  /  Algebra

QuestionSelect and graph the function that represents continuous data. Function A: f(x)=2x−5f(x)=2 x-5, where the domain is {x∈R}\{x \in R\} unction B: h(x)=3x+4h(x)=3 x+4, where the domain is {−2,−1,0,1,2}\{-2,-1,0,1,2\} nded Response he graph shows soil temperature over 3 days at different depth

Studdy Solution

STEP 1

1. We are given two functions, Function A and Function B.
2. Function A has a domain of all real numbers, which means it represents continuous data.
3. Function B has a limited domain of specific integers, which means it represents discrete data.
4. We need to select the function that represents continuous data and graph it.

STEP 2

1. Identify the function that represents continuous data.
2. Graph the selected function over its domain.

STEP 3

Identify the function that represents continuous data.
Function A: f(x)=2x−5 f(x) = 2x - 5 has a domain of all real numbers, x∈R x \in \mathbb{R} , which means it is continuous.
Function B: h(x)=3x+4 h(x) = 3x + 4 has a domain of specific integers {−2,−1,0,1,2} \{-2, -1, 0, 1, 2\} , which means it is discrete.
Select Function A as it represents continuous data.

STEP 4

Graph the selected function f(x)=2x−5 f(x) = 2x - 5 .
1. Identify the y-intercept: When x=0 x = 0 , f(x)=2(0)−5=−5 f(x) = 2(0) - 5 = -5 . The y-intercept is (0,−5) (0, -5) .
2. Identify the slope: The slope is 2, which means for every increase of 1 in x x , f(x) f(x) increases by 2.
3. Plot the y-intercept on the graph.
4. Use the slope to plot another point: From (0,−5) (0, -5) , move 1 unit to the right and 2 units up to (1,−3) (1, -3) .
5. Draw a straight line through these points extending in both directions, as the domain is all real numbers.

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