QuestionEvaluate the function $f(x)=2x+5$ for $x=5, 0, 4, -2, 3$ and identify the true statements.

Studdy Solution

STEP 1

Assumptions1. The function is $f(x)=x+5$ . We need to find the value of the function for different values of $x$ and verify the given statements.

STEP 2

Let's start with statement A $f(5)=15$ . To verify this, we need to substitute $x=5$ into the function and calculate the result.
$f(5) =2(5) +5$

STEP 3

Calculate the value of $f(5)$ .
$f(5) =2(5) +5 =10 +5 =15$ So, statement A is true.

STEP 4

Next, let's verify statement B $f(0)=$ . Substitute $x=0$ into the function and calculate the result.
$f(0) =2(0) +$

STEP 5

Calculate the value of $f(0)$ .
$f(0) =2(0) +5 =0 +5 =5$ So, statement B is also true.

STEP 6

Now, let's verify statement C $f(4)=13$ . Substitute $x=4$ into the function and calculate the result.
$f(4) =2(4) +5$

STEP 7

Calculate the value of $f(4)$ .
$f(4) =2(4) +5 = +5 =13$ So, statement C is true as well.

STEP 8

Next, let's verify statement D $f(-2)=1$ . Substitute $x=-2$ into the function and calculate the result.
$f(-2) =2(-2) +5$

STEP 9

Calculate the value of $f(-2)$ .
$f(-2) =2(-2) +5 = -4 +5 =$ So, statement D is true.

STEP 10

Finally, let's verify statement $f(3)=$ . Substitute $x=3$ into the function and calculate the result.
$f(3) =2(3) +5$

STEP 11

Calculate the value of $f(3)$ .
$f(3) =(3) +5 =6 +5 =11$ So, statement is true as well.
Therefore, all the statements A, B, C, D, and are true.

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