5 for which of the following functions does $f(2) = -1$? choose all tha…
A. $f(x)=3^{x}-10$, B. $f(x)=\frac{9}{4}x^{2}-10$
Aufgabe
5 for which of the following functions does $f(2) = -1$? choose all that apply!
a $f(x)=3^{x}-10$
b $f(x)=\\frac{9}{4}x^{2}-10$
c $f(x)=x-4$
d $f(x)=3.5x-10$
Lösungsschritte
-
Understand the question
5 for which of the following functions does $f(2) = -1$? choose all that apply!
a $f(x)=3^{x}-10$
b $f(x)=\\frac{9}{4}x^{2}-10$
c $f(x)=x-4$
d $f(x)=3.5x-10$ -
Explanation
Step1: Evaluate Option A at x=2
Substitute $x=2$ into $f(x)=3^x - 10$:
$f(2)=3^2 - 10 = 9 - 10 = -1$Step2: Evaluate Option B at x=2
Substitute $x=2$ into $f(x)=\frac{9}{4}x^2 - 10$:
$f(2)=\frac{9}{4}(2)^2 - 10 = \frac{9}{4} \times 4 - 10 = 9 - 10 = -1$Step3: Evaluate Option C at x=2
Substitute $x=2$ into $f(x)=x - 4$:
$f(2)=2 - 4 = -2$Step4: Evaluate Option D at x=2
Substitute $x=2$ into $f(x)=3.5x - 10$:
$f(2)=3.5 \times 2 - 10 = 7 - 10 = -3$ -
Final answer
A. $f(x)=3^{x}-10$, B. $f(x)=\frac{9}{4}x^{2}-10$
Antwort
Explanation
Step1: Evaluate Option A at x=2
Substitute $x=2$ into $f(x)=3^x - 10$:
$f(2)=3^2 - 10 = 9 - 10 = -1$
Step2: Evaluate Option B at x=2
Substitute $x=2$ into $f(x)=\frac{9}{4}x^2 - 10$:
$f(2)=\frac{9}{4}(2)^2 - 10 = \frac{9}{4} \times 4 - 10 = 9 - 10 = -1$
Step3: Evaluate Option C at x=2
Substitute $x=2$ into $f(x)=x - 4$:
$f(2)=2 - 4 = -2$
Step4: Evaluate Option D at x=2
Substitute $x=2$ into $f(x)=3.5x - 10$:
$f(2)=3.5 \times 2 - 10 = 7 - 10 = -3$
Answer
A. $f(x)=3^{x}-10$, B. $f(x)=\frac{9}{4}x^{2}-10$
Question Image
Click to enlargeQuestion Analysis
Subject
mathematics
Sub Subject
calculus
Education Level
high school
Difficulty
unspecified
Question Type
multiple choice, calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-09T20:01:24
OCR Text
Show OCR extraction
5 for which of the following functions does $f(2) = -1$? choose all that apply!
a $f(x)=3^{x}-10$
b $f(x)=\\frac{9}{4}x^{2}-10$
c $f(x)=x-4$
d $f(x)=3.5x-10$
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