General Math

Which of the following is considered an exponential equation?

• f(x) = 5 $x^2$

• y = $81^x$

• $7<14^{x+3}$

• $49^{x\ }=\ 7^2$

Tags

CCSS.HSF.LE.A.1

Solve the equation

 $4^{x\ -5\ }=\ 16$  

• 5

• 7

• 9

• 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve the inequality

 $\frac{49}{81}^{x+1}\ge\frac{9}{7}$  

•  $\left\{x\ \epsilon\ ℝ\ \left|\ x\ \ge\frac{-3}{2}\right|\right\}$  

•  $\left\{x\ \epsilon\ ℝ\left|\ x\le\ \frac{-3}{2}\right|\right\}$  

•  $\left\{x\ \epsilon\ ℝ\left|\ x\ge\ \frac{3}{2}\right|\right\}$  

•  $\left\{\ x\ \epsilon\ ℝ,\ x\ \le\ \frac{3}{2}\right\}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the domain of an exponential function?

• Set of negative real numbers

• Set of positive real numbers

• Set of real numbers

• Set of whole numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Given

 $f\left(x\right)=5^x$ , what is its range?

• Set of negative real numbers

• Set of positive real numbers

• Set of real numbers

• Set of whole numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

What is the intercept of

 $f\left(x\right)\ =2^x\ ?$ 

• x = -1

• x = 1

• y = -1

• y = 1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Which statements are TRUE about the graph?

1. Its domain is a set of all real numbers.

2. Its range is a set of all real numbers.

3. There is no x-intercept.

4. The horizontal asymptote is y = 0.

• 1, 2

• 2, 4

• 1, 3, 4

• 1, 2, 3, 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

All of the following are examples of a logarithmic equation EXCEPT:

• $g(x)=\log_5x$

  
  

• $y\ =\ 2\log_4x$

• $\log_3\left(2x\ -1\right)\ =\ 2$

• $2\ +\ y\ =\ \log_3\left(x\ +\ 2\right)$

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.5

What is the value of x in

 $\log_x144=\ 2$  ?

• 8

• 10

• 12

• 14

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

The solution of  $-10+\log_5⁡(p+8)=-10$ is shown above. Which step is INCORRECTLY done?

• Step 1

• Step 3
  

• Step 4

• Step 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4